11096718944256 has 960 divisors, whose sum is σ = 37104092625600. Its totient is φ = 3275646566400.

The previous prime is 11096718944209. The next prime is 11096718944291. The reversal of 11096718944256 is 65244981769011.

11096718944256 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 6 + 7 + 189 + 442 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11096718944193 and 11096718944202.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17311573696 + ... + 17311574336.

It is an arithmetic number, because the mean of its divisors is an integer number (38650096485).

Almost surely, 2^{11096718944256} is an apocalyptic number.

11096718944256 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 11096718944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18552046312800).

11096718944256 is an abundant number, since it is smaller than the sum of its proper divisors (26007373681344).

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

11096718944256 is a wasteful number, since it uses less digits than its factorization.

11096718944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 11096718944256 in words is "eleven trillion, ninety-six billion, seven hundred eighteen million, nine hundred forty-four thousand, two hundred fifty-six".