57948085373670 has 256 divisors, whose sum is σ = 163692090777600. Its totient is φ = 14566616363520.

The previous prime is 57948085373669. The next prime is 57948085373681. The reversal of 57948085373670 is 7637358084975.

57948085373670 is a `hidden beast` number, since 5 + 7 + 9 + 4 + 80 + 8 + 537 + 3 + 6 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61191904 + ... + 62131676.

It is an arithmetic number, because the mean of its divisors is an integer number (639422229600).

Almost surely, 2^{57948085373670} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57948085373670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81846045388800).

57948085373670 is an abundant number, since it is smaller than the sum of its proper divisors (105744005403930).

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

57948085373670 is a wasteful number, since it uses less digits than its factorization.

57948085373670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940012 (or 940006 counting only the distinct ones).

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

The spelling of 57948085373670 in words is "fifty-seven trillion, nine hundred forty-eight billion, eighty-five million, three hundred seventy-three thousand, six hundred seventy".