11256860160000 has 3510 divisors, whose sum is σ = 52048534746780. Its totient is φ = 2334818304000.

The previous prime is 11256860159927. The next prime is 11256860160017. The reversal of 11256860160000 is 6106865211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 190794239971 + ... + 190794240029.

It is an arithmetic number, because the mean of its divisors is an integer number (14828642378).

Almost surely, 2^{11256860160000} is an apocalyptic number.

11256860160000 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 11256860160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26024267373390).

11256860160000 is an abundant number, since it is smaller than the sum of its proper divisors (40791674586780).

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

11256860160000 is an equidigital number, since it uses as much as digits as its factorization.

11256860160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 89 counting only the distinct ones).

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

The spelling of 11256860160000 in words is "eleven trillion, two hundred fifty-six billion, eight hundred sixty million, one hundred sixty thousand".