256098680800 has 72 divisors (see below), whose sum is σ = 625537306800. Its totient is φ = 102384353280.

The previous prime is 256098680759. The next prime is 256098680801. The reversal of 256098680800 is 8086890652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256098680801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1418016 + ... + 1588384.

It is an arithmetic number, because the mean of its divisors is an integer number (8688018150).

Almost surely, 2^256098680800 is an apocalyptic number.

256098680800 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 256098680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312768653400).

256098680800 is an abundant number, since it is smaller than the sum of its proper divisors (369438626000).

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

256098680800 is a wasteful number, since it uses less digits than its factorization.

256098680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172268 (or 172255 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 256098680800 in words is "two hundred fifty-six billion, ninety-eight million, six hundred eighty thousand, eight hundred".