11256860160 has 1080 divisors, whose sum is σ = 49939872840. Its totient is φ = 2334818304.

The previous prime is 11256860159. The next prime is 11256860189. The reversal of 11256860160 is 6106865211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 190794211 + ... + 190794269.

It is an arithmetic number, because the mean of its divisors is an integer number (46240623).

Almost surely, 2^11256860160 is an apocalyptic number.

11256860160 is a gapful number since it is divisible by the number (10) 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 11256860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24969936420).

11256860160 is an abundant number, since it is smaller than the sum of its proper divisors (38683012680).

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

11256860160 is a wasteful number, since it uses less digits than its factorization.

11256860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11256860160 in words is "eleven billion, two hundred fifty-six million, eight hundred sixty thousand, one hundred sixty".