257064390576 has 240 divisors, whose sum is σ = 853820018688. Its totient is φ = 70650662400.

The previous prime is 257064390553. The next prime is 257064390589. The reversal of 257064390576 is 675093460752.

257064390576 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 64 + 3 + 9 + 0 + 576 = 666.

It is a super-2 number, since 2×257064390576² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5193786 + ... + 5243046.

Almost surely, 2^257064390576 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 257064390576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426910009344).

257064390576 is an abundant number, since it is smaller than the sum of its proper divisors (596755628112).

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

257064390576 is a wasteful number, since it uses less digits than its factorization.

257064390576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49480 (or 49471 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 257064390576 in words is "two hundred fifty-seven billion, sixty-four million, three hundred ninety thousand, five hundred seventy-six".