57461918640 has 160 divisors (see below), whose sum is σ = 204603571200. Its totient is φ = 13068076032.

The previous prime is 57461918539. The next prime is 57461918663. The reversal of 57461918640 is 4681916475.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248382 + ... + 420258.

It is an arithmetic number, because the mean of its divisors is an integer number (1278772320).

Almost surely, 2^57461918640 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 57461918640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102301785600).

57461918640 is an abundant number, since it is smaller than the sum of its proper divisors (147141652560).

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

57461918640 is a wasteful number, since it uses less digits than its factorization.

57461918640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172099 (or 172093 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 57461918640 in words is "fifty-seven billion, four hundred sixty-one million, nine hundred eighteen thousand, six hundred forty".