57066812712 has 960 divisors, whose sum is σ = 218099692800. Its totient is φ = 13586227200.

The previous prime is 57066812701. The next prime is 57066812723. The reversal of 57066812712 is 21721866075.

57066812712 is a `hidden beast` number, since 570 + 6 + 6 + 8 + 1 + 2 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (57066812701) and next prime (57066812723).

It is a super-2 number, since 2×57066812712² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 377925837 + ... + 377925987.

It is an arithmetic number, because the mean of its divisors is an integer number (227187180).

Almost surely, 2^57066812712 is an apocalyptic number.

57066812712 is a gapful number since it is divisible by the number (52) 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 57066812712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109049846400).

57066812712 is an abundant number, since it is smaller than the sum of its proper divisors (161032880088).

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

57066812712 is a wasteful number, since it uses less digits than its factorization.

57066812712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 57066812712 in words is "fifty-seven billion, sixty-six million, eight hundred twelve thousand, seven hundred twelve".