256891605360 has 160 divisors (see below), whose sum is σ = 861689515008. Its totient is φ = 62935004160.

The previous prime is 256891605337. The next prime is 256891605379. The reversal of 256891605360 is 63506198652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463209 + ... + 853431.

Almost surely, 2^256891605360 is an apocalyptic number.

256891605360 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 256891605360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430844757504).

256891605360 is an abundant number, since it is smaller than the sum of its proper divisors (604797909648).

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

256891605360 is a wasteful number, since it uses less digits than its factorization.

256891605360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390463 (or 390457 counting only the distinct ones).

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

The spelling of 256891605360 in words is "two hundred fifty-six billion, eight hundred ninety-one million, six hundred five thousand, three hundred sixty".