56627600100 has 144 divisors (see below), whose sum is σ = 173628137088. Its totient is φ = 14200309760.

The previous prime is 56627600063. The next prime is 56627600131. The reversal of 56627600100 is 100672665.

56627600100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6998257 + ... + 7006343.

It is an arithmetic number, because the mean of its divisors is an integer number (1205750952).

Almost surely, 2^56627600100 is an apocalyptic number.

56627600100 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 56627600100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86814068544).

56627600100 is an abundant number, since it is smaller than the sum of its proper divisors (117000536988).

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

56627600100 is a wasteful number, since it uses less digits than its factorization.

56627600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9487 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 56627600100 in words is "fifty-six billion, six hundred twenty-seven million, six hundred thousand, one hundred".