57061875760 has 120 divisors (see below), whose sum is σ = 138932357760. Its totient is φ = 21793913856.

The previous prime is 57061875743. The next prime is 57061875769. The reversal of 57061875760 is 6757816075.

It is a junction number, because it is equal to n+sod(n) for n = 57061875698 and 57061875707.

It is not an unprimeable number, because it can be changed into a prime (57061875769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39653121 + ... + 39654559.

It is an arithmetic number, because the mean of its divisors is an integer number (1157769648).

Almost surely, 2^57061875760 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 57061875760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69466178880).

57061875760 is an abundant number, since it is smaller than the sum of its proper divisors (81870482000).

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

57061875760 is a wasteful number, since it uses less digits than its factorization.

57061875760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 52.

The spelling of 57061875760 in words is "fifty-seven billion, sixty-one million, eight hundred seventy-five thousand, seven hundred sixty".