57934986912 has 288 divisors, whose sum is σ = 190365686784. Its totient is φ = 17181331200.

The previous prime is 57934986881. The next prime is 57934986943. The reversal of 57934986912 is 21968943975.

57934986912 is a `hidden beast` number, since 5 + 79 + 3 + 498 + 69 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (57934986881) and next prime (57934986943).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×57934986912² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57934986912.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4012987 + ... + 4027397.

It is an arithmetic number, because the mean of its divisors is an integer number (660991968).

Almost surely, 2^57934986912 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 57934986912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95182843392).

57934986912 is an abundant number, since it is smaller than the sum of its proper divisors (132430699872).

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

57934986912 is a wasteful number, since it uses less digits than its factorization.

57934986912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14494 (or 14474 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 57934986912 in words is "fifty-seven billion, nine hundred thirty-four million, nine hundred eighty-six thousand, nine hundred twelve".