256949314860000 has 960 divisors, whose sum is σ = 1044790577994240. Its totient is φ = 53928222720000.

The previous prime is 256949314859917. The next prime is 256949314860067. The reversal of 256949314860000 is 68413949652.

256949314860000 is digitally balanced in base 2, 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 159 ways as a sum of consecutive naturals, for example, 292301131 + ... + 293178869.

It is an arithmetic number, because the mean of its divisors is an integer number (1088323518744).

Almost surely, 2^{256949314860000} is an apocalyptic number.

256949314860000 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 256949314860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522395288997120).

256949314860000 is an abundant number, since it is smaller than the sum of its proper divisors (787841263134240).

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

256949314860000 is a wasteful number, since it uses less digits than its factorization.

256949314860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877837 (or 877814 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 256949314860000 in words is "two hundred fifty-six trillion, nine hundred forty-nine billion, three hundred fourteen million, eight hundred sixty thousand".