256859260056 has 672 divisors, whose sum is σ = 902493597600. Its totient is φ = 67016678400.

The previous prime is 256859260051. The next prime is 256859260069. The reversal of 256859260056 is 650062958652.

256859260056 is a `hidden beast` number, since 2 + 568 + 5 + 9 + 26 + 0 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 256859259984 and 256859260011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256859260051) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 427386156 + ... + 427386756.

It is an arithmetic number, because the mean of its divisors is an integer number (1342996425).

Almost surely, 2^256859260056 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 256859260056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451246798800).

256859260056 is an abundant number, since it is smaller than the sum of its proper divisors (645634337544).

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

256859260056 is a wasteful number, since it uses less digits than its factorization.

256859260056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 256859260056 in words is "two hundred fifty-six billion, eight hundred fifty-nine million, two hundred sixty thousand, fifty-six".