256683319480 has 128 divisors (see below), whose sum is σ = 681795072000. Its totient is φ = 85109253120.

The previous prime is 256683319471. The next prime is 256683319493. The reversal of 256683319480 is 84913386652.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13956931 + ... + 13975309.

It is an arithmetic number, because the mean of its divisors is an integer number (5326524000).

Almost surely, 2^256683319480 is an apocalyptic number.

256683319480 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 256683319480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340897536000).

256683319480 is an abundant number, since it is smaller than the sum of its proper divisors (425111752520).

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

256683319480 is a wasteful number, since it uses less digits than its factorization.

256683319480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20037 (or 20033 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 256683319480 in words is "two hundred fifty-six billion, six hundred eighty-three million, three hundred nineteen thousand, four hundred eighty".