11109133891296 has 288 divisors, whose sum is σ = 36435820075200. Its totient is φ = 3144945549312.

The previous prime is 11109133891291. The next prime is 11109133891307. The reversal of 11109133891296 is 69219833190111.

11109133891296 is a `hidden beast` number, since 1 + 1 + 10 + 9 + 1 + 338 + 9 + 1 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11109133891291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990731386 + ... + 990742598.

It is an arithmetic number, because the mean of its divisors is an integer number (126513264150).

Almost surely, 2^{11109133891296} is an apocalyptic number.

11109133891296 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 11109133891296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217910037600).

11109133891296 is an abundant number, since it is smaller than the sum of its proper divisors (25326686183904).

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

11109133891296 is a wasteful number, since it uses less digits than its factorization.

11109133891296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15698 (or 15687 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 11109133891296 in words is "eleven trillion, one hundred nine billion, one hundred thirty-three million, eight hundred ninety-one thousand, two hundred ninety-six".