256785103872 has 264 divisors, whose sum is σ = 814730891520. Its totient is φ = 77249617920.

The previous prime is 256785103829. The next prime is 256785103879. The reversal of 256785103872 is 278301587652.

256785103872 is a `hidden beast` number, since 2 + 56 + 7 + 8 + 510 + 3 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256785103879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14082153 + ... + 14100375.

Almost surely, 2^256785103872 is an apocalyptic number.

256785103872 is a gapful number since it is divisible by the number (22) 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 256785103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407365445760).

256785103872 is an abundant number, since it is smaller than the sum of its proper divisors (557945787648).

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

256785103872 is a wasteful number, since it uses less digits than its factorization.

256785103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18399 (or 18378 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 256785103872 in words is "two hundred fifty-six billion, seven hundred eighty-five million, one hundred three thousand, eight hundred seventy-two".