11260872086256 has 1120 divisors, whose sum is σ = 40184305539840. Its totient is φ = 3017020317696.

The previous prime is 11260872086227. The next prime is 11260872086287. The reversal of 11260872086256 is 65268027806211.

11260872086256 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 0 + 8 + 7 + 2 + 0 + 8 + 625 + 6 = 666.

11260872086256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2106014175 + ... + 2106019521.

It is an arithmetic number, because the mean of its divisors is an integer number (35878844232).

Almost surely, 2^{11260872086256} is an apocalyptic number.

11260872086256 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 11260872086256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092152769920).

11260872086256 is an abundant number, since it is smaller than the sum of its proper divisors (28923433453584).

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

11260872086256 is a wasteful number, since it uses less digits than its factorization.

11260872086256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 11260872086256 in words is "eleven trillion, two hundred sixty billion, eight hundred seventy-two million, eighty-six thousand, two hundred fifty-six".