256567320576 has 336 divisors, whose sum is σ = 896883534144. Its totient is φ = 68990533632.

The previous prime is 256567320557. The next prime is 256567320641. The reversal of 256567320576 is 675023765652.

256567320576 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 67 + 3 + 2 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8759011 + ... + 8788253.

Almost surely, 2^256567320576 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 256567320576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448441767072).

256567320576 is an abundant number, since it is smaller than the sum of its proper divisors (640316213568).

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

256567320576 is a wasteful number, since it uses less digits than its factorization.

256567320576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29299 (or 29272 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 256567320576 in words is "two hundred fifty-six billion, five hundred sixty-seven million, three hundred twenty thousand, five hundred seventy-six".