56531865600 has 1248 divisors, whose sum is σ = 249614499840. Its totient is φ = 12262440960.

The previous prime is 56531865587. The next prime is 56531865601. The reversal of 56531865600 is 656813565.

56531865600 is a `hidden beast` number, since 5 + 6 + 5 + 3 + 1 + 86 + 560 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56531865601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445132737 + ... + 445132863.

Almost surely, 2^56531865600 is an apocalyptic number.

56531865600 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 56531865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124807249920).

56531865600 is an abundant number, since it is smaller than the sum of its proper divisors (193082634240).

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

56531865600 is a wasteful number, since it uses less digits than its factorization.

56531865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 56531865600 in words is "fifty-six billion, five hundred thirty-one million, eight hundred sixty-five thousand, six hundred".