57405712518 has 192 divisors, whose sum is σ = 160740163584. Its totient is φ = 14369400000.

The previous prime is 57405712513. The next prime is 57405712537. The reversal of 57405712518 is 81521750475.

57405712518 is a `hidden beast` number, since 5 + 7 + 40 + 571 + 25 + 18 = 666.

57405712518 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57405712513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10781805 + ... + 10787127.

It is an arithmetic number, because the mean of its divisors is an integer number (837188352).

Almost surely, 2^57405712518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57405712518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80370081792).

57405712518 is an abundant number, since it is smaller than the sum of its proper divisors (103334451066).

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

57405712518 is a wasteful number, since it uses less digits than its factorization.

57405712518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 57405712518 in words is "fifty-seven billion, four hundred five million, seven hundred twelve thousand, five hundred eighteen".