256663719518976 has 2592 divisors, whose sum is σ = 996350228729856. Its totient is φ = 65145959424000.

The previous prime is 256663719518923. The next prime is 256663719519017. The reversal of 256663719518976 is 679815917366652.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 256663719518895 and 256663719518904.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 311863571301 + ... + 311863572123.

It is an arithmetic number, because the mean of its divisors is an integer number (384394378368).

Almost surely, 2^{256663719518976} 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 256663719518976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498175114364928).

256663719518976 is an abundant number, since it is smaller than the sum of its proper divisors (739686509210880).

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

256663719518976 is a wasteful number, since it uses less digits than its factorization.

256663719518976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1048 counting only the distinct ones).

The product of its digits is 6172588800, while the sum is 81.

The spelling of 256663719518976 in words is "two hundred fifty-six trillion, six hundred sixty-three billion, seven hundred nineteen million, five hundred eighteen thousand, nine hundred seventy-six".