55631332800 has 756 divisors, whose sum is σ = 211707135640. Its totient is φ = 13849989120.

The previous prime is 55631332769. The next prime is 55631332811. The reversal of 55631332800 is 823313655.

55631332800 is a `hidden beast` number, since 5 + 563 + 13 + 3 + 2 + 80 + 0 = 666.

55631332800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 510379146 + ... + 510379254.

Almost surely, 2^55631332800 is an apocalyptic number.

55631332800 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 55631332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105853567820).

55631332800 is an abundant number, since it is smaller than the sum of its proper divisors (156075802840).

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

55631332800 is a wasteful number, since it uses less digits than its factorization.

55631332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 55631332800 in words is "fifty-five billion, six hundred thirty-one million, three hundred thirty-two thousand, eight hundred".