57946183680 has 1152 divisors, whose sum is σ = 248458129920. Its totient is φ = 11245977600.

The previous prime is 57946183667. The next prime is 57946183703. The reversal of 57946183680 is 8638164975.

It is a self number, because there is not a number n which added to its sum of digits gives 57946183680.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 442337215 + ... + 442337345.

It is an arithmetic number, because the mean of its divisors is an integer number (215675460).

Almost surely, 2^57946183680 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 57946183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124229064960).

57946183680 is an abundant number, since it is smaller than the sum of its proper divisors (190511946240).

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

57946183680 is a wasteful number, since it uses less digits than its factorization.

57946183680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 57946183680 in words is "fifty-seven billion, nine hundred forty-six million, one hundred eighty-three thousand, six hundred eighty".