56865404200 has 192 divisors, whose sum is σ = 145923696000. Its totient is φ = 20437401600.

The previous prime is 56865404179. The next prime is 56865404213. The reversal of 56865404200 is 240456865.

56865404200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 84495064 + ... + 84495736.

It is an arithmetic number, because the mean of its divisors is an integer number (760019250).

Almost surely, 2^56865404200 is an apocalyptic number.

56865404200 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 56865404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72961848000).

56865404200 is an abundant number, since it is smaller than the sum of its proper divisors (89058291800).

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

56865404200 is a wasteful number, since it uses less digits than its factorization.

56865404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 56865404200 in words is "fifty-six billion, eight hundred sixty-five million, four hundred four thousand, two hundred".