11200095816 has 192 divisors, whose sum is σ = 35187969600. Its totient is φ = 2944553472.

The previous prime is 11200095791. The next prime is 11200095827. The reversal of 11200095816 is 61859000211.

11200095816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5793186 + ... + 5795118.

It is an arithmetic number, because the mean of its divisors is an integer number (183270675).

Almost surely, 2^11200095816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200095816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593984800).

11200095816 is an abundant number, since it is smaller than the sum of its proper divisors (23987873784).

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

11200095816 is a wasteful number, since it uses less digits than its factorization.

11200095816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 11200095816 in words is "eleven billion, two hundred million, ninety-five thousand, eight hundred sixteen".