1. The problem is to find the value of $60!$, which means the factorial of 60. 2. The factorial of a positive integer $n$, denoted $n!$, is the product of all positive integers from 1 to $n$. The formula is: $$n! = n \times (n-1) \times (n-2) \times \cdots \times 2 \times 1$$ 3. For $60!$, this means: $$60! = 60 \times 59 \times 58 \times \cdots \times 2 \times 1$$ 4. Calculating $60!$ directly by hand is impractical because it is a very large number. Using a calculator or software, the exact value is: $$60! = 8320987112741390144276341183223364380754172606361245952449277696409600000000000000$$ 5. This number has 81 digits and represents the total number of ways to arrange 60 distinct objects in order. Final answer: $$60! = 8320987112741390144276341183223364380754172606361245952449277696409600000000000000$$