57307753152 has 224 divisors, whose sum is σ = 182600600000. Its totient is φ = 17519763456.

The previous prime is 57307753147. The next prime is 57307753183. The reversal of 57307753152 is 25135770375.

57307753152 is a `hidden beast` number, since 573 + 0 + 7 + 75 + 3 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57307753098 and 57307753107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3518724 + ... + 3534972.

It is an arithmetic number, because the mean of its divisors is an integer number (815181250).

Almost surely, 2^57307753152 is an apocalyptic number.

57307753152 is a gapful number since it is divisible by the number (52) 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 57307753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91300300000).

57307753152 is an abundant number, since it is smaller than the sum of its proper divisors (125292846848).

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

57307753152 is a wasteful number, since it uses less digits than its factorization.

57307753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16440 (or 16424 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The spelling of 57307753152 in words is "fifty-seven billion, three hundred seven million, seven hundred fifty-three thousand, one hundred fifty-two".