57456669360 has 160 divisors (see below), whose sum is σ = 188694351360. Its totient is φ = 14412754944.

The previous prime is 57456669293. The next prime is 57456669397. The reversal of 57456669360 is 6396665475.

It is a self number, because there is not a number n which added to its sum of digits gives 57456669360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13539399 + ... + 13543641.

It is an arithmetic number, because the mean of its divisors is an integer number (1179339696).

Almost surely, 2^57456669360 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 57456669360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94347175680).

57456669360 is an abundant number, since it is smaller than the sum of its proper divisors (131237682000).

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

57456669360 is a wasteful number, since it uses less digits than its factorization.

57456669360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 57.

The spelling of 57456669360 in words is "fifty-seven billion, four hundred fifty-six million, six hundred sixty-nine thousand, three hundred sixty".