55918800 has 270 divisors, whose sum is σ = 226448118. Its totient is φ = 12741120.

The previous prime is 55918783. The next prime is 55918813. The reversal of 55918800 is 881955.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 55890576 = 168^2 + 7476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176242 + ... + 176558.

Almost surely, 2^55918800 is an apocalyptic number.

55918800 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 55918800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113224059).

55918800 is an abundant number, since it is smaller than the sum of its proper divisors (170529318).

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

55918800 is a wasteful number, since it uses less digits than its factorization.

55918800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 55918800 is about 7477.8874022012. The cubic root of 55918800 is about 382.4012304250.

The spelling of 55918800 in words is "fifty-five million, nine hundred eighteen thousand, eight hundred".