56972697600 has 672 divisors, whose sum is σ = 232077646080. Its totient is φ = 12008816640.

The previous prime is 56972697599. The next prime is 56972697629. The reversal of 56972697600 is 679627965.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55909891 + ... + 55910909.

It is an arithmetic number, because the mean of its divisors is an integer number (345353640).

Almost surely, 2^56972697600 is an apocalyptic number.

56972697600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56972697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116038823040).

56972697600 is an abundant number, since it is smaller than the sum of its proper divisors (175104948480).

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

56972697600 is a wasteful number, since it uses less digits than its factorization.

56972697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 57.

The spelling of 56972697600 in words is "fifty-six billion, nine hundred seventy-two million, six hundred ninety-seven thousand, six hundred".