57239293796352 has 672 divisors, whose sum is σ = 173154094274304. Its totient is φ = 18205507584000.

The previous prime is 57239293796323. The next prime is 57239293796417. The reversal of 57239293796352 is 25369739293275.

57239293796352 is a `hidden beast` number, since 5 + 7 + 239 + 2 + 9 + 37 + 9 + 6 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23449115452 + ... + 23449117892.

Almost surely, 2^{57239293796352} 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 57239293796352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86577047137152).

57239293796352 is an abundant number, since it is smaller than the sum of its proper divisors (115914800477952).

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

57239293796352 is a wasteful number, since it uses less digits than its factorization.

57239293796352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2661 counting only the distinct ones).

The product of its digits is 1157360400, while the sum is 72.

The spelling of 57239293796352 in words is "fifty-seven trillion, two hundred thirty-nine billion, two hundred ninety-three million, seven hundred ninety-six thousand, three hundred fifty-two".