256868540000 has 120 divisors (see below), whose sum is σ = 633278036160. Its totient is φ = 102529088000.

The previous prime is 256868539999. The next prime is 256868540081. The reversal of 256868540000 is 45868652.

256868540000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9566594 + ... + 9593406.

It is an arithmetic number, because the mean of its divisors is an integer number (5277316968).

Almost surely, 2^256868540000 is an apocalyptic number.

256868540000 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 256868540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316639018080).

256868540000 is an abundant number, since it is smaller than the sum of its proper divisors (376409496160).

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

256868540000 is an equidigital number, since it uses as much as digits as its factorization.

256868540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27322 (or 27299 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 256868540000 in words is "two hundred fifty-six billion, eight hundred sixty-eight million, five hundred forty thousand".