57668729526720 has 896 divisors, whose sum is σ = 230751536870400. Its totient is φ = 13440762003456.

The previous prime is 57668729526697. The next prime is 57668729526743. The reversal of 57668729526720 is 2762592786675.

57668729526720 is a `hidden beast` number, since 5 + 7 + 6 + 6 + 8 + 7 + 29 + 526 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57668729526697) and next prime (57668729526743).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4445282154 + ... + 4445295126.

It is an arithmetic number, because the mean of its divisors is an integer number (257535197400).

Almost surely, 2^{57668729526720} 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 57668729526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115375768435200).

57668729526720 is an abundant number, since it is smaller than the sum of its proper divisors (173082807343680).

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

57668729526720 is a wasteful number, since it uses less digits than its factorization.

57668729526720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15114 (or 15098 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 57668729526720 in words is "fifty-seven trillion, six hundred sixty-eight billion, seven hundred twenty-nine million, five hundred twenty-six thousand, seven hundred twenty".