CONCAT_WS('',         -- hack, empty delimiter
        tadd.street_number, ' ',
        tadd.street_name,', ',
        CONCAT(tadd.apt_number,', '), -- hack, this line will become NULL, when apt_number is null, and will be omitted with delimiter
        tadd.city,', ',
        tadd.postal_code,', ',
        tadd.country) AS 'Address'

I don't know mysql, but in MSSQL (TQSL) the solution looks like:

SELECT
        tadd.street_number + ' ' +
        tadd.street_name + ', ' +
        ISNULL(tadd.apt_number  + ', ', '') +
        tadd.city + ', ' +
        tadd.postal_code + ', ' +
        tadd.country AS 'Address'

Moreover, you can omit all NULL fields, not just apt_number:

SELECT CONCAT_WS(', ',
        CONCAT(tadd.street_number, ' ', tadd.street_name),
        tadd.apt_number,
        tadd.city,
        tadd.postal_code,
        tadd.country) AS 'Address'

CONCAT_WS('',         -- hack, empty delimiter
        tadd.street_number, ' ',
        tadd.street_name,', ',
        CONCAT(tadd.apt_number,', '), -- hack, this line will become NULL, when apt_number is null, and will be omitted with delimiter
        tadd.city,', ',
        tadd.postal_code,', ',
        tadd.country) AS 'Address'

I don't know mysql, but in MSSQL (TQSL) the solution looks like:

SELECT
        tadd.street_number + ' ' +
        tadd.street_name + ', ' +
        ISNULL(tadd.apt_number  + ', ', '') +
        tadd.city + ', ' +
        tadd.postal_code + ', ' +
        tadd.country AS 'Address'

Moreover, you can omit all NULL fields, not just apt_number (mysql again):

SELECT CONCAT_WS(', ',
        CONCAT(tadd.street_number, ' ', tadd.street_name),
        tadd.apt_number,
        tadd.city,
        tadd.postal_code,
        tadd.country) AS 'Address'