11088806808960 has 512 divisors, whose sum is σ = 39472707456000. Its totient is φ = 2942005985280.

The previous prime is 11088806808823. The next prime is 11088806808977. The reversal of 11088806808960 is 6980860888011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3455531836 + ... + 3455535044.

It is an arithmetic number, because the mean of its divisors is an integer number (77095131750).

Almost surely, 2^{11088806808960} is an apocalyptic number.

11088806808960 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 11088806808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736353728000).

11088806808960 is an abundant number, since it is smaller than the sum of its proper divisors (28383900647040).

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

11088806808960 is a wasteful number, since it uses less digits than its factorization.

11088806808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The spelling of 11088806808960 in words is "eleven trillion, eighty-eight billion, eight hundred six million, eight hundred eight thousand, nine hundred sixty".