57005390680 has 384 divisors, whose sum is σ = 162807321600. Its totient is φ = 17850212352.

The previous prime is 57005390647. The next prime is 57005390707. The reversal of 57005390680 is 8609350075.

57005390680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57005390680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155327857 + ... + 155328223.

It is an arithmetic number, because the mean of its divisors is an integer number (423977400).

Almost surely, 2^57005390680 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 57005390680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81403660800).

57005390680 is an abundant number, since it is smaller than the sum of its proper divisors (105801930920).

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

57005390680 is a wasteful number, since it uses less digits than its factorization.

57005390680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 57005390680 in words is "fifty-seven billion, five million, three hundred ninety thousand, six hundred eighty".