11108949200 has 240 divisors, whose sum is σ = 29448115200. Its totient is φ = 4008960000.

The previous prime is 11108949199. The next prime is 11108949223. The reversal of 11108949200 is 294980111.

It is a Cunningham number, because it is equal to 105399²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31830626 + ... + 31830974.

It is an arithmetic number, because the mean of its divisors is an integer number (122700480).

Almost surely, 2^11108949200 is an apocalyptic number.

11108949200 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 11108949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724057600).

11108949200 is an abundant number, since it is smaller than the sum of its proper divisors (18339166000).

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

11108949200 is a wasteful number, since it uses less digits than its factorization.

11108949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The spelling of 11108949200 in words is "eleven billion, one hundred eight million, nine hundred forty-nine thousand, two hundred".