57805645863168 has 1440 divisors, whose sum is σ = 207223875936000. Its totient is φ = 16012908527616.

The previous prime is 57805645863151. The next prime is 57805645863187. The reversal of 57805645863168 is 86136854650875.

57805645863168 is a `hidden beast` number, since 5 + 7 + 8 + 0 + 5 + 6 + 4 + 586 + 31 + 6 + 8 = 666.

It is a super-4 number, since 4×57805645863168⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57805645863096 and 57805645863105.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33549416355 + ... + 33549418077.

It is an arithmetic number, because the mean of its divisors is an integer number (143905469400).

Almost surely, 2^{57805645863168} 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 57805645863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103611937968000).

57805645863168 is an abundant number, since it is smaller than the sum of its proper divisors (149418230072832).

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

57805645863168 is an equidigital number, since it uses as much as digits as its factorization.

57805645863168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 57805645863168 in words is "fifty-seven trillion, eight hundred five billion, six hundred forty-five million, eight hundred sixty-three thousand, one hundred sixty-eight".