57583740760 has 128 divisors (see below), whose sum is σ = 159543014400. Its totient is φ = 18215124480.

The previous prime is 57583740749. The next prime is 57583740761. The reversal of 57583740760 is 6704738575.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 57583740698 and 57583740707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57583740761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13607845 + ... + 13612075.

It is an arithmetic number, because the mean of its divisors is an integer number (1246429800).

Almost surely, 2^57583740760 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 57583740760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79771507200).

57583740760 is an abundant number, since it is smaller than the sum of its proper divisors (101959273640).

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

57583740760 is a wasteful number, since it uses less digits than its factorization.

57583740760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 52.

The spelling of 57583740760 in words is "fifty-seven billion, five hundred eighty-three million, seven hundred forty thousand, seven hundred sixty".