57106946916792 has 96 divisors (see below), whose sum is σ = 163903382912880. Its totient is φ = 17900499563520.

The previous prime is 57106946916749. The next prime is 57106946916839. The reversal of 57106946916792 is 29761964960175.

It is a happy number.

57106946916792 is a `hidden beast` number, since 5 + 7 + 1 + 0 + 69 + 469 + 16 + 7 + 92 = 666.

It is a super-2 number, since 2×57106946916792² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 57106946916792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18634959 + ... + 21481982.

Almost surely, 2^{57106946916792} is an apocalyptic number.

It is an amenable number.

57106946916792 is an abundant number, since it is smaller than the sum of its proper divisors (106796435996088).

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

57106946916792 is a wasteful number, since it uses less digits than its factorization.

57106946916792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40118133 (or 40118126 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 57106946916792 in words is "fifty-seven trillion, one hundred six billion, nine hundred forty-six million, nine hundred sixteen thousand, seven hundred ninety-two".