55618800 has 60 divisors (see below), whose sum is σ = 178169400. Its totient is φ = 14831360.

The previous prime is 55618753. The next prime is 55618811. The reversal of 55618800 is 881655.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21975 + ... + 24374.

It is an arithmetic number, because the mean of its divisors is an integer number (2969490).

Almost surely, 2^55618800 is an apocalyptic number.

55618800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55618800 is an abundant number, since it is smaller than the sum of its proper divisors (122550600).

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

55618800 is a wasteful number, since it uses less digits than its factorization.

55618800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46370 (or 46359 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 55618800 is about 7457.8012845610. The cubic root of 55618800 is about 381.7161529074.

The spelling of 55618800 in words is "fifty-five million, six hundred eighteen thousand, eight hundred".