52757114400 has 360 divisors, whose sum is σ = 198608788224. Its totient is φ = 13614220800.

The previous prime is 52757114383. The next prime is 52757114401. The reversal of 52757114400 is 441175725.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (52757114401) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1995669 + ... + 2021931.

Almost surely, 2^52757114400 is an apocalyptic number.

52757114400 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 52757114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99304394112).

52757114400 is an abundant number, since it is smaller than the sum of its proper divisors (145851673824).

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

52757114400 is a wasteful number, since it uses less digits than its factorization.

52757114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26326 (or 26304 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 52757114400 in words is "fifty-two billion, seven hundred fifty-seven million, one hundred fourteen thousand, four hundred".