52311142800 has 180 divisors, whose sum is σ = 207467752960. Its totient is φ = 11956826880.

The previous prime is 52311142757. The next prime is 52311142811. The reversal of 52311142800 is 824111325.

52311142800 is a `hidden beast` number, since 5 + 231 + 1 + 1 + 428 + 0 + 0 = 666.

52311142800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×52311142800² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1012720 + ... + 1063119.

Almost surely, 2^52311142800 is an apocalyptic number.

52311142800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52311142800 is an abundant number, since it is smaller than the sum of its proper divisors (155156610160).

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

52311142800 is a wasteful number, since it uses less digits than its factorization.

52311142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075870 (or 2075856 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 52311142800 in words is "fifty-two billion, three hundred eleven million, one hundred forty-two thousand, eight hundred".