56972916100 has 27 divisors (see below), whose sum is σ = 123636407727. Its totient is φ = 22788211680.

The previous prime is 56972916097. The next prime is 56972916103. The reversal of 56972916100 is 161927965.

The square root of 56972916100 is 238690.

It is a perfect power (a square), and thus also a powerful number.

56972916100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56972916097) and next prime (56972916103).

It can be written as a sum of positive squares in 4 ways, for example, as 1442936196 + 55529979904 = 37986^2 + 235648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56972916103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2374966 + ... + 2398834.

Almost surely, 2^56972916100 is an apocalyptic number.

56972916100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56972916100 is the 238690-th square number.

It is an amenable number.

56972916100 is an abundant number, since it is smaller than the sum of its proper divisors (66663491627).

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

56972916100 is an frugal number, since it uses more digits than its factorization.

56972916100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47752 (or 23876 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 46.

The spelling of 56972916100 in words is "fifty-six billion, nine hundred seventy-two million, nine hundred sixteen thousand, one hundred".