57146268332160 has 768 divisors, whose sum is σ = 227168001515520. Its totient is φ = 12966884352000.

The previous prime is 57146268332107. The next prime is 57146268332183. The reversal of 57146268332160 is 6123386264175.

57146268332160 is a `hidden beast` number, since 5 + 7 + 1 + 4 + 626 + 8 + 3 + 3 + 2 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57146268332097 and 57146268332106.

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, 15482595915 + ... + 15482599605.

It is an arithmetic number, because the mean of its divisors is an integer number (295791668640).

Almost surely, 2^{57146268332160} 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 57146268332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113584000757760).

57146268332160 is an abundant number, since it is smaller than the sum of its proper divisors (170021733183360).

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

57146268332160 is a wasteful number, since it uses less digits than its factorization.

57146268332160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 57146268332160 in words is "fifty-seven trillion, one hundred forty-six billion, two hundred sixty-eight million, three hundred thirty-two thousand, one hundred sixty".