57251358864 has 240 divisors, whose sum is σ = 196225690752. Its totient is φ = 15209459712.

The previous prime is 57251358863. The next prime is 57251358883. The reversal of 57251358864 is 46885315275.

57251358864 is a `hidden beast` number, since 5 + 7 + 2 + 51 + 3 + 588 + 6 + 4 = 666.

It is a super-2 number, since 2×57251358864² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57251358864.

It is not an unprimeable number, because it can be changed into a prime (57251358863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1402162 + ... + 1442414.

Almost surely, 2^57251358864 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 57251358864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98112845376).

57251358864 is an abundant number, since it is smaller than the sum of its proper divisors (138974331888).

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

57251358864 is a wasteful number, since it uses less digits than its factorization.

57251358864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40374 (or 40365 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 57251358864 in words is "fifty-seven billion, two hundred fifty-one million, three hundred fifty-eight thousand, eight hundred sixty-four".