57360424160 has 96 divisors (see below), whose sum is σ = 146024780832. Its totient is φ = 21166663680.

The previous prime is 57360424157. The next prime is 57360424207. The reversal of 57360424160 is 6142406375.

It is a happy number.

It is a super-2 number, since 2×57360424160² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3959330 + ... + 3973790.

It is an arithmetic number, because the mean of its divisors is an integer number (1521091467).

Almost surely, 2^57360424160 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 57360424160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73012390416).

57360424160 is an abundant number, since it is smaller than the sum of its proper divisors (88664356672).

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

57360424160 is a wasteful number, since it uses less digits than its factorization.

57360424160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16396 (or 16388 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 57360424160 in words is "fifty-seven billion, three hundred sixty million, four hundred twenty-four thousand, one hundred sixty".