256084876320 has 384 divisors, whose sum is σ = 1015917686784. Its totient is φ = 52774170624.

The previous prime is 256084876309. The next prime is 256084876321. The reversal of 256084876320 is 23678480652.

It is not an unprimeable number, because it can be changed into a prime (256084876321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1810069 + ... + 1946411.

It is an arithmetic number, because the mean of its divisors is an integer number (2645618976).

Almost surely, 2^256084876320 is an apocalyptic number.

256084876320 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 256084876320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507958843392).

256084876320 is an abundant number, since it is smaller than the sum of its proper divisors (759832810464).

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

256084876320 is a wasteful number, since it uses less digits than its factorization.

256084876320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136424 (or 136416 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 256084876320 in words is "two hundred fifty-six billion, eighty-four million, eight hundred seventy-six thousand, three hundred twenty".