So far it is a googol. A googol is a number with a hundred zeroes or: 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
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A googolplex which has a googol zeros (a googol has 100 zeros after it) is a big one, but there is no "highest number", because you can always add one to it. Some people believe infinity is the highest number, but you can always just add one.
Infinity is the highest number of all. Technically, some people say that infinity is too much that infinity is 0.
Infinity is a concept, not a number. Even if it were considered such, infinity plus one is also infinity, and so infinity minus one is still infinity.
Infinity.
There is no answer for this, there is an infinity possibilities.