256261963776 has 960 divisors, whose sum is σ = 913189552128. Its totient is φ = 62077796352.

The previous prime is 256261963751. The next prime is 256261963817. The reversal of 256261963776 is 677369162652.

256261963776 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4835131366 + ... + 4835131418.

Almost surely, 2^256261963776 is an apocalyptic number.

256261963776 is a gapful number since it is divisible by the number (26) 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 256261963776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456594776064).

256261963776 is an abundant number, since it is smaller than the sum of its proper divisors (656927588352).

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

256261963776 is a wasteful number, since it uses less digits than its factorization.

256261963776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The spelling of 256261963776 in words is "two hundred fifty-six billion, two hundred sixty-one million, nine hundred sixty-three thousand, seven hundred seventy-six".