57660574140 has 480 divisors, whose sum is σ = 212163336000. Its totient is φ = 12980072448.

The previous prime is 57660574123. The next prime is 57660574141. The reversal of 57660574140 is 4147506675.

57660574140 is a `hidden beast` number, since 5 + 7 + 6 + 60 + 574 + 14 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57660574141) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11601576 + ... + 11606544.

It is an arithmetic number, because the mean of its divisors is an integer number (442006950).

Almost surely, 2^57660574140 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 57660574140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106081668000).

57660574140 is an abundant number, since it is smaller than the sum of its proper divisors (154502761860).

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

57660574140 is a wasteful number, since it uses less digits than its factorization.

57660574140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 57660574140 in words is "fifty-seven billion, six hundred sixty million, five hundred seventy-four thousand, one hundred forty".