57258894168 has 320 divisors, whose sum is σ = 187928294400. Its totient is φ = 15948472320.

The previous prime is 57258894167. The next prime is 57258894181. The reversal of 57258894168 is 86149885275.

57258894168 is a `hidden beast` number, since 5 + 7 + 2 + 588 + 9 + 41 + 6 + 8 = 666.

57258894168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57258894168² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57258894163) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89327128 + ... + 89327768.

It is an arithmetic number, because the mean of its divisors is an integer number (587275920).

Almost surely, 2^57258894168 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 57258894168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93964147200).

57258894168 is an abundant number, since it is smaller than the sum of its proper divisors (130669400232).

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

57258894168 is a wasteful number, since it uses less digits than its factorization.

57258894168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1119 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 57258894168 in words is "fifty-seven billion, two hundred fifty-eight million, eight hundred ninety-four thousand, one hundred sixty-eight".