55995600 has 60 divisors (see below), whose sum is σ = 179376416. Its totient is φ = 14931840.

The previous prime is 55995587. The next prime is 55995617. The reversal of 55995600 is 659955.

55995600 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 congruent number.

It is an unprimeable number.

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, 22132 + ... + 24531.

Almost surely, 2^55995600 is an apocalyptic number.

55995600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55995600 is an abundant number, since it is smaller than the sum of its proper divisors (123380816).

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

55995600 is a wasteful number, since it uses less digits than its factorization.

55995600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46684 (or 46673 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 39.

The square root of 55995600 is about 7483.0207804068. The cubic root of 55995600 is about 382.5762161763.

The spelling of 55995600 in words is "fifty-five million, nine hundred ninety-five thousand, six hundred".