56217513600 has 144 divisors (see below), whose sum is σ = 200597074470. Its totient is φ = 14991329280.

The previous prime is 56217513587. The next prime is 56217513607. The reversal of 56217513600 is 631571265.

56217513600 is a `hidden beast` number, since 562 + 17 + 51 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26548140096 + 29669373504 = 162936^2 + 172248^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56217513607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 947199 + ... + 1004798.

Almost surely, 2^56217513600 is an apocalyptic number.

56217513600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56217513600 is an abundant number, since it is smaller than the sum of its proper divisors (144379560870).

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

56217513600 is a wasteful number, since it uses less digits than its factorization.

56217513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952027 (or 1952007 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 56217513600 in words is "fifty-six billion, two hundred seventeen million, five hundred thirteen thousand, six hundred".