11099789682240 has 1344 divisors, whose sum is σ = 44090444980224. Its totient is φ = 2315718180864.

The previous prime is 11099789682227. The next prime is 11099789682323. The reversal of 11099789682240 is 4228698799011.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 7639221354 + ... + 7639222806.

Almost surely, 2^{11099789682240} is an apocalyptic number.

11099789682240 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 11099789682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22045222490112).

11099789682240 is an abundant number, since it is smaller than the sum of its proper divisors (32990655297984).

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

11099789682240 is a wasteful number, since it uses less digits than its factorization.

11099789682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 66.

The spelling of 11099789682240 in words is "eleven trillion, ninety-nine billion, seven hundred eighty-nine million, six hundred eighty-two thousand, two hundred forty".