11200423872 has 112 divisors (see below), whose sum is σ = 32771803392. Its totient is φ = 3347527680.

The previous prime is 11200423849. The next prime is 11200423901. The reversal of 11200423872 is 27832400211.

11200423872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 117853 + ... + 190499.

Almost surely, 2^11200423872 is an apocalyptic number.

11200423872 is a gapful number since it is divisible by the number (12) 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 11200423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385901696).

11200423872 is an abundant number, since it is smaller than the sum of its proper divisors (21571379520).

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

11200423872 is a wasteful number, since it uses less digits than its factorization.

11200423872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72746 (or 72736 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 11200423872 in words is "eleven billion, two hundred million, four hundred twenty-three thousand, eight hundred seventy-two".