52711842400 has 288 divisors, whose sum is σ = 151130327040. Its totient is φ = 17576939520.

The previous prime is 52711842397. The next prime is 52711842419. The reversal of 52711842400 is 424811725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110045361 + ... + 110045839.

It is an arithmetic number, because the mean of its divisors is an integer number (524758080).

Almost surely, 2^52711842400 is an apocalyptic number.

52711842400 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 52711842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75565163520).

52711842400 is an abundant number, since it is smaller than the sum of its proper divisors (98418484640).

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

52711842400 is a wasteful number, since it uses less digits than its factorization.

52711842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 52711842400 in words is "fifty-two billion, seven hundred eleven million, eight hundred forty-two thousand, four hundred".