57660093671040 has 768 divisors, whose sum is σ = 244047397651200. Its totient is φ = 12250205061120.

The previous prime is 57660093671023. The next prime is 57660093671041. The reversal of 57660093671040 is 4017639006675.

It is a happy number.

57660093671040 is a `hidden beast` number, since 576 + 6 + 0 + 0 + 9 + 3 + 67 + 1 + 0 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (57660093671041) 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, 39892180 + ... + 41312300.

It is an arithmetic number, because the mean of its divisors is an integer number (317770049025).

Almost surely, 2^{57660093671040} 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 57660093671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122023698825600).

57660093671040 is an abundant number, since it is smaller than the sum of its proper divisors (186387303980160).

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

57660093671040 is a wasteful number, since it uses less digits than its factorization.

57660093671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420225 (or 1420210 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 57660093671040 in words is "fifty-seven trillion, six hundred sixty billion, ninety-three million, six hundred seventy-one thousand, forty".