"Giga" means one billion. So the highest number you could get under "giga" would be 999,999,999,999 bytes, or more simply "999 gigabytes". Then you go into "terrabytes" (trillions).
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There can be no equivalence. A gigabyte is a measure of opto-electronic storage while a trillion is a pure number. The two measure different things and, according to basic principles of dimensional analysis, any attempt at conversion from one to the other is fundamentally flawed.
There is no highest number
There is no highest number, highest prime number, or highest composite number. Therefore, there can't be a second-highest, third-highest, etc., of any of these types of numbers, either.
There is an infinite number of possibilities to the highest number.
There is no highest square number. If there was such a number then that number squared would be a higher square number!