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78542 Will easily get you the biggest whole number, 7219 digits long.

* * * * *

Good try. But that is not hard to beat

Start with 45 = 1024. Raise 2 to that power: that is a 309 digit number.

Raise 78, itself a number with 3665 digits, to that power.

And, you can always take factorials of each of the five numbers to make the final result much larger.

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Q: What is the largest whole number you can make with 5 8 2 7 and 4?
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