56755600 has 60 divisors (see below), whose sum is σ = 148762800. Its totient is φ = 20636800.

The previous prime is 56755597. The next prime is 56755607. The reversal of 56755600 is 655765.

It is not an unprimeable number, because it can be changed into a prime (56755607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2050 + ... + 10849.

It is an arithmetic number, because the mean of its divisors is an integer number (2479380).

Almost surely, 2^56755600 is an apocalyptic number.

56755600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56755600 is an abundant number, since it is smaller than the sum of its proper divisors (92007200).

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

56755600 is a wasteful number, since it uses less digits than its factorization.

56755600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928 (or 12917 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 34.

The square root of 56755600 is about 7533.6312625453. The cubic root of 56755600 is about 384.2992820206.

The spelling of 56755600 in words is "fifty-six million, seven hundred fifty-five thousand, six hundred".