256895036160 has 288 divisors, whose sum is σ = 956807846400. Its totient is φ = 58718564352.

The previous prime is 256895036159. The next prime is 256895036161. The reversal of 256895036160 is 61630598652.

It is an interprime number because it is at equal distance from previous prime (256895036159) and next prime (256895036161).

It is not an unprimeable number, because it can be changed into a prime (256895036161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219599 + ... + 1414641.

Almost surely, 2^256895036160 is an apocalyptic number.

256895036160 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 256895036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478403923200).

256895036160 is an abundant number, since it is smaller than the sum of its proper divisors (699912810240).

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

256895036160 is an equidigital number, since it uses as much as digits as its factorization.

256895036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195088 (or 195060 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 256895036160 in words is "two hundred fifty-six billion, eight hundred ninety-five million, thirty-six thousand, one hundred sixty".