53875584000 has 1408 divisors, whose sum is σ = 242794506240. Its totient is φ = 11501568000.

The previous prime is 53875583941. The next prime is 53875584097. The reversal of 53875584000 is 48557835.

53875584000 is a `hidden beast` number, since 53 + 8 + 7 + 558 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 411263935 + ... + 411264065.

It is an arithmetic number, because the mean of its divisors is an integer number (172439280).

Almost surely, 2^53875584000 is an apocalyptic number.

53875584000 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 53875584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121397253120).

53875584000 is an abundant number, since it is smaller than the sum of its proper divisors (188918922240).

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

53875584000 is a wasteful number, since it uses less digits than its factorization.

53875584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 53875584000 in words is "fifty-three billion, eight hundred seventy-five million, five hundred eighty-four thousand".