57587055764160 has 896 divisors, whose sum is σ = 210285562281984. Its totient is φ = 13226767810560.

The previous prime is 57587055764159. The next prime is 57587055764171. The reversal of 57587055764160 is 6146755078575.

It is a junction number, because it is equal to n+sod(n) for n = 57587055764091 and 57587055764100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12845649279 + ... + 12845653761.

It is an arithmetic number, because the mean of its divisors is an integer number (234693707904).

Almost surely, 2^{57587055764160} 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 57587055764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105142781140992).

57587055764160 is an abundant number, since it is smaller than the sum of its proper divisors (152698506517824).

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

57587055764160 is a wasteful number, since it uses less digits than its factorization.

57587055764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 246960000, while the sum is 66.

The spelling of 57587055764160 in words is "fifty-seven trillion, five hundred eighty-seven billion, fifty-five million, seven hundred sixty-four thousand, one hundred sixty".