57252096000 has 960 divisors, whose sum is σ = 233746793280. Its totient is φ = 13824000000.

The previous prime is 57252095963. The next prime is 57252096043. The reversal of 57252096000 is 69025275.

57252096000 is a `hidden beast` number, since 5 + 7 + 25 + 20 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228095875 + ... + 228096125.

It is an arithmetic number, because the mean of its divisors is an integer number (243486243).

Almost surely, 2^57252096000 is an apocalyptic number.

57252096000 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 57252096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116873396640).

57252096000 is an abundant number, since it is smaller than the sum of its proper divisors (176494697280).

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

57252096000 is a wasteful number, since it uses less digits than its factorization.

57252096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 57252096000 in words is "fifty-seven billion, two hundred fifty-two million, ninety-six thousand".