56872713600 has 384 divisors, whose sum is σ = 208767888000. Its totient is φ = 15120230400.

The previous prime is 56872713589. The next prime is 56872713619. The reversal of 56872713600 is 631727865.

56872713600 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 27 + 13 + 600 = 666.

56872713600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36200815 + ... + 36202385.

It is an arithmetic number, because the mean of its divisors is an integer number (543666375).

Almost surely, 2^56872713600 is an apocalyptic number.

56872713600 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 56872713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104383944000).

56872713600 is an abundant number, since it is smaller than the sum of its proper divisors (151895174400).

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

56872713600 is a wasteful number, since it uses less digits than its factorization.

56872713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 56872713600 in words is "fifty-six billion, eight hundred seventy-two million, seven hundred thirteen thousand, six hundred".