11009902200 has 768 divisors, whose sum is σ = 41847321600. Its totient is φ = 2365440000.

The previous prime is 11009902157. The next prime is 11009902231. The reversal of 11009902200 is 220990011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180490170 + ... + 180490230.

It is an arithmetic number, because the mean of its divisors is an integer number (54488700).

Almost surely, 2^11009902200 is an apocalyptic number.

11009902200 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 11009902200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20923660800).

11009902200 is an abundant number, since it is smaller than the sum of its proper divisors (30837419400).

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

11009902200 is a wasteful number, since it uses less digits than its factorization.

11009902200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 11009902200 in words is "eleven billion, nine million, nine hundred two thousand, two hundred".