257570417664 has 396 divisors, whose sum is σ = 878170025304. Its totient is φ = 72484651008.

The previous prime is 257570417639. The next prime is 257570417677. The reversal of 257570417664 is 466714075752.

257570417664 is a `hidden beast` number, since 2 + 5 + 7 + 570 + 4 + 1 + 7 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 257570417664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30251872 + ... + 30260384.

It is an arithmetic number, because the mean of its divisors is an integer number (2217601074).

Almost surely, 2^257570417664 is an apocalyptic number.

257570417664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257570417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439085012652).

257570417664 is an abundant number, since it is smaller than the sum of its proper divisors (620599607640).

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

257570417664 is a wasteful number, since it uses less digits than its factorization.

257570417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 257570417664 in words is "two hundred fifty-seven billion, five hundred seventy million, four hundred seventeen thousand, six hundred sixty-four".