57481711560 has 1280 divisors, whose sum is σ = 259157606400. Its totient is φ = 11085465600.

The previous prime is 57481711559. The next prime is 57481711597. The reversal of 57481711560 is 6511718475.

57481711560 is a `hidden beast` number, since 5 + 7 + 4 + 81 + 7 + 1 + 1 + 560 = 666.

57481711560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 173660595 + ... + 173660925.

It is an arithmetic number, because the mean of its divisors is an integer number (202466880).

Almost surely, 2^57481711560 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 57481711560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129578803200).

57481711560 is an abundant number, since it is smaller than the sum of its proper divisors (201675894840).

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

57481711560 is a wasteful number, since it uses less digits than its factorization.

57481711560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 57481711560 in words is "fifty-seven billion, four hundred eighty-one million, seven hundred eleven thousand, five hundred sixty".