57115817216640 has 1536 divisors, whose sum is σ = 258055270986240. Its totient is φ = 11296309248000.

The previous prime is 57115817216551. The next prime is 57115817216651. The reversal of 57115817216640 is 4661271851175.

57115817216640 is a `hidden beast` number, since 5 + 7 + 1 + 1 + 581 + 7 + 2 + 16 + 6 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2236577952 + ... + 2236603488.

It is an arithmetic number, because the mean of its divisors is an integer number (168004733715).

Almost surely, 2^{57115817216640} 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 57115817216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129027635493120).

57115817216640 is an abundant number, since it is smaller than the sum of its proper divisors (200939453769600).

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

57115817216640 is a wasteful number, since it uses less digits than its factorization.

57115817216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25850 (or 25835 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 57115817216640 in words is "fifty-seven trillion, one hundred fifteen billion, eight hundred seventeen million, two hundred sixteen thousand, six hundred forty".