56551600 has 120 divisors (see below), whose sum is σ = 163600640. Its totient is φ = 18351360.

The previous prime is 56551589. The next prime is 56551613. The reversal of 56551600 is 615565.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 52669 + ... + 53731.

Almost surely, 2^56551600 is an apocalyptic number.

56551600 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 56551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81800320).

56551600 is an abundant number, since it is smaller than the sum of its proper divisors (107049040).

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

56551600 is a wasteful number, since it uses less digits than its factorization.

56551600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 56551600 is about 7520.0797868108. The cubic root of 56551600 is about 383.8382927343.

The spelling of 56551600 in words is "fifty-six million, five hundred fifty-one thousand, six hundred".