256575385416 has 256 divisors, whose sum is σ = 765904896000. Its totient is φ = 70085836800.

The previous prime is 256575385379. The next prime is 256575385487. The reversal of 256575385416 is 614583575652.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 264237811 + ... + 264238781.

It is an arithmetic number, because the mean of its divisors is an integer number (2991816000).

Almost surely, 2^256575385416 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 256575385416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382952448000).

256575385416 is an abundant number, since it is smaller than the sum of its proper divisors (509329510584).

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

256575385416 is a wasteful number, since it uses less digits than its factorization.

256575385416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1576 counting only the distinct ones).

The product of its digits is 30240000, while the sum is 57.

The spelling of 256575385416 in words is "two hundred fifty-six billion, five hundred seventy-five million, three hundred eighty-five thousand, four hundred sixteen".