57945896386560 has 1728 divisors, whose sum is σ = 252605121979392. Its totient is φ = 11960611504128.

The previous prime is 57945896386493. The next prime is 57945896386571. The reversal of 57945896386560 is 6568369854975.

57945896386560 is a `hidden beast` number, since 5 + 7 + 9 + 45 + 8 + 9 + 6 + 3 + 8 + 6 + 560 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57945896386560.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25226771332 + ... + 25226773628.

It is an arithmetic number, because the mean of its divisors is an integer number (146183519664).

Almost surely, 2^{57945896386560} 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 57945896386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126302560989696).

57945896386560 is an abundant number, since it is smaller than the sum of its proper divisors (194659225592832).

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

57945896386560 is a wasteful number, since it uses less digits than its factorization.

57945896386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 11757312000, while the sum is 81.

The spelling of 57945896386560 in words is "fifty-seven trillion, nine hundred forty-five billion, eight hundred ninety-six million, three hundred eighty-six thousand, five hundred sixty".