256015660992 has 336 divisors, whose sum is σ = 855417542400. Its totient is φ = 67517678592.

The previous prime is 256015660973. The next prime is 256015661009. The reversal of 256015660992 is 299066510652.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11118163 + ... + 11141165.

Almost surely, 2^256015660992 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 256015660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427708771200).

256015660992 is an abundant number, since it is smaller than the sum of its proper divisors (599401881408).

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

256015660992 is a wasteful number, since it uses less digits than its factorization.

256015660992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23065 (or 23028 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 256015660992 in words is "two hundred fifty-six billion, fifteen million, six hundred sixty thousand, nine hundred ninety-two".