57234864960 has 1008 divisors, whose sum is σ = 247468680576. Its totient is φ = 11886870528.

The previous prime is 57234864959. The next prime is 57234864961. The reversal of 57234864960 is 6946843275.

57234864960 is a `hidden beast` number, since 5 + 72 + 3 + 4 + 86 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57234864959) and next prime (57234864961).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 57234864897 and 57234864906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57234864961) 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 143 ways as a sum of consecutive naturals, for example, 364553202 + ... + 364553358.

Almost surely, 2^57234864960 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 57234864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123734340288).

57234864960 is an abundant number, since it is smaller than the sum of its proper divisors (190233815616).

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

57234864960 is a wasteful number, since it uses less digits than its factorization.

57234864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 57234864960 in words is "fifty-seven billion, two hundred thirty-four million, eight hundred sixty-four thousand, nine hundred sixty".