256960482688 has 128 divisors (see below), whose sum is σ = 638923299840. Its totient is φ = 100222617600.

The previous prime is 256960482683. The next prime is 256960482703. The reversal of 256960482688 is 886284069652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256960482683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671653 + ... + 982363.

It is an arithmetic number, because the mean of its divisors is an integer number (4991588280).

Almost surely, 2^256960482688 is an apocalyptic number.

256960482688 is a gapful number since it is divisible by the number (28) 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 256960482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319461649920).

256960482688 is an abundant number, since it is smaller than the sum of its proper divisors (381962817152).

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

256960482688 is a wasteful number, since it uses less digits than its factorization.

256960482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310816 (or 310804 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

The spelling of 256960482688 in words is "two hundred fifty-six billion, nine hundred sixty million, four hundred eighty-two thousand, six hundred eighty-eight".