56511600 has 60 divisors (see below), whose sum is σ = 181029336. Its totient is φ = 15069440.

The previous prime is 56511577. The next prime is 56511607. The reversal of 56511600 is 611565.

56511600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56511607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22347 + ... + 24746.

Almost surely, 2^56511600 is an apocalyptic number.

56511600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56511600 is an abundant number, since it is smaller than the sum of its proper divisors (124517736).

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

56511600 is a wasteful number, since it uses less digits than its factorization.

56511600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47114 (or 47103 counting only the distinct ones).

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

The square root of 56511600 is about 7517.4197701073. The cubic root of 56511600 is about 383.7477727309.

The spelling of 56511600 in words is "fifty-six million, five hundred eleven thousand, six hundred".