82972572724800 has 252 divisors, whose sum is σ = 321713579752656. Its totient is φ = 20114563046400.

The previous prime is 82972572724793. The next prime is 82972572724801. The reversal of 82972572724800 is 842727527928.

82972572724800 is a `hidden beast` number, since 82 + 9 + 7 + 2 + 5 + 7 + 2 + 72 + 480 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (82972572724801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261749974 + ... + 262066773.

Almost surely, 2^{82972572724800} is an apocalyptic number.

82972572724800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82972572724800 is an abundant number, since it is smaller than the sum of its proper divisors (238741007027856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82972572724800 is a wasteful number, since it uses less digits than its factorization.

82972572724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523816786 (or 523816768 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 82972572724800 in words is "eighty-two trillion, nine hundred seventy-two billion, five hundred seventy-two million, seven hundred twenty-four thousand, eight hundred".