56456521800 has 384 divisors, whose sum is σ = 205015449600. Its totient is φ = 12585461760.

The previous prime is 56456521789. The next prime is 56456521861. The reversal of 56456521800 is 812565465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33947769 + ... + 33949431.

It is an arithmetic number, because the mean of its divisors is an integer number (533894400).

Almost surely, 2^56456521800 is an apocalyptic number.

56456521800 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 56456521800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102507724800).

56456521800 is an abundant number, since it is smaller than the sum of its proper divisors (148558927800).

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

56456521800 is a wasteful number, since it uses less digits than its factorization.

56456521800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 56456521800 in words is "fifty-six billion, four hundred fifty-six million, five hundred twenty-one thousand, eight hundred".