56510010600 has 96 divisors (see below), whose sum is σ = 175285343520. Its totient is φ = 15060363520.

The previous prime is 56510010593. The next prime is 56510010617. The reversal of 56510010600 is 601001565.

It is a super-2 number, since 2×56510010600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012627 + ... + 1066973.

It is an arithmetic number, because the mean of its divisors is an integer number (1825888995).

Almost surely, 2^56510010600 is an apocalyptic number.

56510010600 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 56510010600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87642671760).

56510010600 is an abundant number, since it is smaller than the sum of its proper divisors (118775332920).

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

56510010600 is a wasteful number, since it uses less digits than its factorization.

56510010600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56099 (or 56090 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 56510010600 in words is "fifty-six billion, five hundred ten million, ten thousand, six hundred".