57106946916864 has 320 divisors, whose sum is σ = 182106622346880. Its totient is φ = 17565289758720.

The previous prime is 57106946916839. The next prime is 57106946916869. The reversal of 57106946916864 is 46861964960175.

It is a happy number.

57106946916864 is a `hidden beast` number, since 5 + 7 + 10 + 69 + 469 + 16 + 86 + 4 = 666.

It is a super-2 number, since 2×57106946916864² (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 junction number, because it is equal to n+sod(n) for n = 57106946916792 and 57106946916801.

It is not an unprimeable number, because it can be changed into a prime (57106946916869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533870874 + ... + 533977830.

It is an arithmetic number, because the mean of its divisors is an integer number (569083194834).

Almost surely, 2^{57106946916864} is an apocalyptic number.

57106946916864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57106946916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91053311173440).

57106946916864 is an abundant number, since it is smaller than the sum of its proper divisors (124999675430016).

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

57106946916864 is a wasteful number, since it uses less digits than its factorization.

57106946916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109968 (or 109946 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 57106946916864 in words is "fifty-seven trillion, one hundred six billion, nine hundred forty-six million, nine hundred sixteen thousand, eight hundred sixty-four".