57625551360 has 400 divisors, whose sum is σ = 222283569816. Its totient is φ = 14184087552.

The previous prime is 57625551349. The next prime is 57625551397. The reversal of 57625551360 is 6315552675.

57625551360 is a `hidden beast` number, since 5 + 7 + 62 + 5 + 551 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21110927616 + 36514623744 = 145296^2 + 191088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2684992 + ... + 2706368.

Almost surely, 2^57625551360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57625551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111141784908).

57625551360 is an abundant number, since it is smaller than the sum of its proper divisors (164658018456).

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

57625551360 is a wasteful number, since it uses less digits than its factorization.

57625551360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21425 (or 21400 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 57625551360 in words is "fifty-seven billion, six hundred twenty-five million, five hundred fifty-one thousand, three hundred sixty".