57289964160 has 1024 divisors, whose sum is σ = 227412541440. Its totient is φ = 12076646400.

The previous prime is 57289964143. The next prime is 57289964167. The reversal of 57289964160 is 6146998275.

It is a self number, because there is not a number n which added to its sum of digits gives 57289964160.

It is not an unprimeable number, because it can be changed into a prime (57289964167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 451102017 + ... + 451102143.

It is an arithmetic number, because the mean of its divisors is an integer number (222082560).

Almost surely, 2^57289964160 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 57289964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113706270720).

57289964160 is an abundant number, since it is smaller than the sum of its proper divisors (170122577280).

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

57289964160 is a wasteful number, since it uses less digits than its factorization.

57289964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 57289964160 in words is "fifty-seven billion, two hundred eighty-nine million, nine hundred sixty-four thousand, one hundred sixty".