57513867168 has 96 divisors (see below), whose sum is σ = 154851963840. Its totient is φ = 18680023040.

The previous prime is 57513867167. The next prime is 57513867199. The reversal of 57513867168 is 86176831575.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (57513867161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3246238 + ... + 3263906.

It is an arithmetic number, because the mean of its divisors is an integer number (1613041290).

Almost surely, 2^57513867168 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 57513867168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77425981920).

57513867168 is an abundant number, since it is smaller than the sum of its proper divisors (97338096672).

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

57513867168 is a wasteful number, since it uses less digits than its factorization.

57513867168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18550 (or 18542 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 57.

The spelling of 57513867168 in words is "fifty-seven billion, five hundred thirteen million, eight hundred sixty-seven thousand, one hundred sixty-eight".