54732214800 has 90 divisors (see below), whose sum is σ = 189936001242. Its totient is φ = 14595256320.

The previous prime is 54732214769. The next prime is 54732214841. The reversal of 54732214800 is 841223745.

It is a happy number.

54732214800 is a `hidden beast` number, since 547 + 3 + 22 + 14 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 385415424 + 54346799376 = 19632^2 + 233124^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7598097 + ... + 7605296.

Almost surely, 2^54732214800 is an apocalyptic number.

54732214800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54732214800 is an abundant number, since it is smaller than the sum of its proper divisors (135203786442).

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

54732214800 is a wasteful number, since it uses less digits than its factorization.

54732214800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15203417 (or 15203403 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 54732214800 in words is "fifty-four billion, seven hundred thirty-two million, two hundred fourteen thousand, eight hundred".