57393116352 has 672 divisors, whose sum is σ = 202980121344. Its totient is φ = 15850598400.

The previous prime is 57393116303. The next prime is 57393116353. The reversal of 57393116352 is 25361139375.

57393116352 is a `hidden beast` number, since 5 + 7 + 3 + 9 + 3 + 1 + 1 + 635 + 2 = 666.

57393116352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57393116298 and 57393116307.

It is not an unprimeable number, because it can be changed into a prime (57393116353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291335518 + ... + 291335714.

It is an arithmetic number, because the mean of its divisors is an integer number (302053752).

Almost surely, 2^57393116352 is an apocalyptic number.

57393116352 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 57393116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101490060672).

57393116352 is an abundant number, since it is smaller than the sum of its proper divisors (145587004992).

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

57393116352 is a wasteful number, since it uses less digits than its factorization.

57393116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 357 counting only the distinct ones).

The product of its digits is 510300, while the sum is 45.

The spelling of 57393116352 in words is "fifty-seven billion, three hundred ninety-three million, one hundred sixteen thousand, three hundred fifty-two".