12085576256 has 56 divisors (see below), whose sum is σ = 25895929920. Its totient is φ = 5563095552.

The previous prime is 12085576241. The next prime is 12085576313. The reversal of 12085576256 is 65267558021.

It is a super-2 number, since 2×12085576256² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12085576256.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296165 + ... + 334491.

It is an arithmetic number, because the mean of its divisors is an integer number (462427320).

Almost surely, 2^12085576256 is an apocalyptic number.

12085576256 is a gapful number since it is divisible by the number (16) 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 12085576256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947964960).

12085576256 is an abundant number, since it is smaller than the sum of its proper divisors (13810353664).

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

12085576256 is a wasteful number, since it uses less digits than its factorization.

12085576256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38731 (or 38721 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

The spelling of 12085576256 in words is "twelve billion, eighty-five million, five hundred seventy-six thousand, two hundred fifty-six".