57709638441 has 48 divisors (see below), whose sum is σ = 102619520640. Its totient is φ = 30432948480.

The previous prime is 57709638431. The next prime is 57709638443. The reversal of 57709638441 is 14483690775.

57709638441 is a `hidden beast` number, since 577 + 0 + 9 + 63 + 8 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 57709638441 - 2¹⁴ = 57709622057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57709638443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6122230 + ... + 6131648.

It is an arithmetic number, because the mean of its divisors is an integer number (2137906680).

Almost surely, 2^57709638441 is an apocalyptic number.

It is an amenable number.

57709638441 is a deficient number, since it is larger than the sum of its proper divisors (44909882199).

57709638441 is a wasteful number, since it uses less digits than its factorization.

57709638441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16926 (or 16923 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 57709638441 in words is "fifty-seven billion, seven hundred nine million, six hundred thirty-eight thousand, four hundred forty-one".