11099942784 has 256 divisors, whose sum is σ = 39070080000. Its totient is φ = 3033372672.

The previous prime is 11099942779. The next prime is 11099942797. The reversal of 11099942784 is 48724999011.

11099942784 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 self number, because there is not a number n which added to its sum of digits gives 11099942784.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 546442 + ... + 566390.

It is an arithmetic number, because the mean of its divisors is an integer number (152617500).

Almost surely, 2^11099942784 is an apocalyptic number.

11099942784 is a gapful number since it is divisible by the number (14) 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 11099942784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040000).

11099942784 is an abundant number, since it is smaller than the sum of its proper divisors (27970137216).

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

11099942784 is a wasteful number, since it uses less digits than its factorization.

11099942784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20002 (or 19984 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11099942784 in words is "eleven billion, ninety-nine million, nine hundred forty-two thousand, seven hundred eighty-four".