256930406880 has 192 divisors, whose sum is σ = 926002990080. Its totient is φ = 58660061184.

The previous prime is 256930406879. The next prime is 256930406917. The reversal of 256930406880 is 88604039652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2937216 + ... + 3023424.

It is an arithmetic number, because the mean of its divisors is an integer number (4822932240).

Almost surely, 2^256930406880 is an apocalyptic number.

256930406880 is a gapful number since it is divisible by the number (20) 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 256930406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463001495040).

256930406880 is an abundant number, since it is smaller than the sum of its proper divisors (669072583200).

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

256930406880 is a wasteful number, since it uses less digits than its factorization.

256930406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87121 (or 87113 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 256930406880 in words is "two hundred fifty-six billion, nine hundred thirty million, four hundred six thousand, eight hundred eighty".