56617563600 has 960 divisors, whose sum is σ = 230160268800. Its totient is φ = 13113999360.

The previous prime is 56617563559. The next prime is 56617563647. The reversal of 56617563600 is 636571665.

56617563600 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 7 + 5 + 636 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 287398702 + ... + 287398898.

It is an arithmetic number, because the mean of its divisors is an integer number (239750280).

Almost surely, 2^56617563600 is an apocalyptic number.

56617563600 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 56617563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115080134400).

56617563600 is an abundant number, since it is smaller than the sum of its proper divisors (173542705200).

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

56617563600 is a wasteful number, since it uses less digits than its factorization.

56617563600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 56617563600 in words is "fifty-six billion, six hundred seventeen million, five hundred sixty-three thousand, six hundred".