256801723287 has 16 divisors (see below), whose sum is σ = 360892224000. Its totient is φ = 161979623424.

The previous prime is 256801723271. The next prime is 256801723319. The reversal of 256801723287 is 782327108652.

It is not a de Polignac number, because 256801723287 - 2⁴ = 256801723271 is a prime.

It is a super-3 number, since 3×256801723287³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256801723237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2885487 + ... + 2973152.

It is an arithmetic number, because the mean of its divisors is an integer number (22555764000).

Almost surely, 2^256801723287 is an apocalyptic number.

256801723287 is a deficient number, since it is larger than the sum of its proper divisors (104090500713).

256801723287 is a wasteful number, since it uses less digits than its factorization.

256801723287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859430.

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 256801723287 in words is "two hundred fifty-six billion, eight hundred one million, seven hundred twenty-three thousand, two hundred eighty-seven".