256510045763664 has 720 divisors, whose sum is σ = 897524561501568. Its totient is φ = 62678956032000.

The previous prime is 256510045763659. The next prime is 256510045763677. The reversal of 256510045763664 is 466367540015652.

It is a junction number, because it is equal to n+sod(n) for n = 256510045763598 and 256510045763607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12196748829 + ... + 12196769859.

Almost surely, 2^{256510045763664} is an apocalyptic number.

256510045763664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256510045763664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448762280750784).

256510045763664 is an abundant number, since it is smaller than the sum of its proper divisors (641014515737904).

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

256510045763664 is a wasteful number, since it uses less digits than its factorization.

256510045763664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23616 (or 23592 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 60.

The spelling of 256510045763664 in words is "two hundred fifty-six trillion, five hundred ten billion, forty-five million, seven hundred sixty-three thousand, six hundred sixty-four".