55116172800 has 1080 divisors, whose sum is σ = 226335681000. Its totient is φ = 12766740480.

The previous prime is 55116172763. The next prime is 55116172861. The reversal of 55116172800 is 827161155.

55116172800 is a `hidden beast` number, since 5 + 5 + 11 + 617 + 28 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 369907126 + ... + 369907274.

It is an arithmetic number, because the mean of its divisors is an integer number (209570075).

Almost surely, 2^55116172800 is an apocalyptic number.

55116172800 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 55116172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113167840500).

55116172800 is an abundant number, since it is smaller than the sum of its proper divisors (171219508200).

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

55116172800 is a wasteful number, since it uses less digits than its factorization.

55116172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 55116172800 in words is "fifty-five billion, one hundred sixteen million, one hundred seventy-two thousand, eight hundred".