256653766656 has 312 divisors, whose sum is σ = 870192705824. Its totient is φ = 71345111040.

The previous prime is 256653766573. The next prime is 256653766661. The reversal of 256653766656 is 656667356652.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 256653766593 and 256653766602.

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, 9534336 + ... + 9561216.

Almost surely, 2^256653766656 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 256653766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435096352912).

256653766656 is an abundant number, since it is smaller than the sum of its proper divisors (613538939168).

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

256653766656 is a wasteful number, since it uses less digits than its factorization.

256653766656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26955 (or 26930 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 63.

The spelling of 256653766656 in words is "two hundred fifty-six billion, six hundred fifty-three million, seven hundred sixty-six thousand, six hundred fifty-six".