11099980800 has 660 divisors, whose sum is σ = 42292059876. Its totient is φ = 2875392000.

The previous prime is 11099980783. The next prime is 11099980813. The reversal of 11099980800 is 808999011.

It can be written as a sum of positive squares in 6 ways, for example, as 764411904 + 10335568896 = 27648^2 + 101664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 109900750 + ... + 109900850.

Almost surely, 2^11099980800 is an apocalyptic number.

11099980800 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 11099980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21146029938).

11099980800 is an abundant number, since it is smaller than the sum of its proper divisors (31192079076).

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

11099980800 is a wasteful number, since it uses less digits than its factorization.

11099980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 11099980800 in words is "eleven billion, ninety-nine million, nine hundred eighty thousand, eight hundred".