57785890680 has 768 divisors, whose sum is σ = 237293971200. Its totient is φ = 11890851840.

The previous prime is 57785890649. The next prime is 57785890693. The reversal of 57785890680 is 8609858775.

57785890680 is a `hidden beast` number, since 577 + 8 + 58 + 9 + 0 + 6 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239775360 + ... + 239775600.

It is an arithmetic number, because the mean of its divisors is an integer number (308976525).

Almost surely, 2^57785890680 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 57785890680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118646985600).

57785890680 is an abundant number, since it is smaller than the sum of its proper divisors (179508080520).

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

57785890680 is a wasteful number, since it uses less digits than its factorization.

57785890680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 57785890680 in words is "fifty-seven billion, seven hundred eighty-five million, eight hundred ninety thousand, six hundred eighty".