11009783808 has 144 divisors (see below), whose sum is σ = 32205045600. Its totient is φ = 3622993920.

The previous prime is 11009783791. The next prime is 11009783809. The reversal of 11009783808 is 80838790011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009783809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1452348 + ... + 1459908.

It is an arithmetic number, because the mean of its divisors is an integer number (223646150).

Almost surely, 2^11009783808 is an apocalyptic number.

11009783808 is a gapful number since it is divisible by the number (18) 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 11009783808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16102522800).

11009783808 is an abundant number, since it is smaller than the sum of its proper divisors (21195261792).

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

11009783808 is an equidigital number, since it uses as much as digits as its factorization.

11009783808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11009783808 in words is "eleven billion, nine million, seven hundred eighty-three thousand, eight hundred eight".