11099990441800 has 768 divisors, whose sum is σ = 30379175608320. Its totient is φ = 3741341184000.

The previous prime is 11099990441789. The next prime is 11099990441801. The reversal of 11099990441800 is 814409999011.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11099990441801) 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 191 ways as a sum of consecutive naturals, for example, 13520085390 + ... + 13520086210.

It is an arithmetic number, because the mean of its divisors is an integer number (39556218240).

Almost surely, 2^{11099990441800} is an apocalyptic number.

11099990441800 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 11099990441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189587804160).

11099990441800 is an abundant number, since it is smaller than the sum of its proper divisors (19279185166520).

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

11099990441800 is a wasteful number, since it uses less digits than its factorization.

11099990441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 55.

The spelling of 11099990441800 in words is "eleven trillion, ninety-nine billion, nine hundred ninety million, four hundred forty-one thousand, eight hundred".