57955685760 has 256 divisors, whose sum is σ = 234583027200. Its totient is φ = 13246986240.

The previous prime is 57955685743. The next prime is 57955685803. The reversal of 57955685760 is 6758655975.

57955685760 is a `hidden beast` number, since 5 + 7 + 9 + 5 + 56 + 8 + 576 + 0 = 666.

It is a super-3 number, since 3×57955685760³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 118606 + ... + 360525.

It is an arithmetic number, because the mean of its divisors is an integer number (916339950).

Almost surely, 2^57955685760 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 57955685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117291513600).

57955685760 is an abundant number, since it is smaller than the sum of its proper divisors (176627341440).

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

57955685760 is a wasteful number, since it uses less digits than its factorization.

57955685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479166 (or 479148 counting only the distinct ones).

The product of its (nonzero) digits is 79380000, while the sum is 63.

The spelling of 57955685760 in words is "fifty-seven billion, nine hundred fifty-five million, six hundred eighty-five thousand, seven hundred sixty".