Question: Computational Limits Of The Combinat Package / Maple

Recently I tried to verify or expand on a recent biological statement that I read. It had to deal with 50 billion neurons each having about 10 thousand different connections each. After trying to discover the number of operands in the combination of 50 billion things chosen 10 thousand at a time, using the choose command, maple basically crashed. Approximately, what are the computational limits of maple in general, and combinat commands in particular ? For example, what is the biggest integer one can take the factorial of ? v/r,
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