57612216162816 has 720 divisors, whose sum is σ = 197809598363520. Its totient is φ = 16420194754560.

The previous prime is 57612216162769. The next prime is 57612216162821. The reversal of 57612216162816 is 61826161221675.

57612216162816 is a `hidden beast` number, since 5 + 7 + 6 + 1 + 2 + 2 + 1 + 6 + 1 + 628 + 1 + 6 = 666.

It is a super-3 number, since 3×57612216162816³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10322917146 + ... + 10322922726.

Almost surely, 2^{57612216162816} is an apocalyptic number.

57612216162816 is a gapful number since it is divisible by the number (56) 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 57612216162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98904799181760).

57612216162816 is an abundant number, since it is smaller than the sum of its proper divisors (140197382200704).

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

57612216162816 is an frugal number, since it uses more digits than its factorization.

57612216162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069 (or 6032 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 57612216162816 in words is "fifty-seven trillion, six hundred twelve billion, two hundred sixteen million, one hundred sixty-two thousand, eight hundred sixteen".