52557565132800 has 3000 divisors, whose sum is σ = 253739144092896. Its totient is φ = 10436770529280.

The previous prime is 52557565132789. The next prime is 52557565132823. The reversal of 52557565132800 is 823156575525.

52557565132800 is a `hidden beast` number, since 5 + 2 + 5 + 57 + 56 + 513 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3091621478392 + ... + 3091621478408.

Almost surely, 2^{52557565132800} is an apocalyptic number.

52557565132800 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 52557565132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126869572046448).

52557565132800 is an abundant number, since it is smaller than the sum of its proper divisors (201181578960096).

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

52557565132800 is an frugal number, since it uses more digits than its factorization.

52557565132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 52557565132800 in words is "fifty-two trillion, five hundred fifty-seven billion, five hundred sixty-five million, one hundred thirty-two thousand, eight hundred".