11500023200 has 144 divisors (see below), whose sum is σ = 29000331360. Its totient is φ = 4450360320.

The previous prime is 11500023149. The next prime is 11500023257. The reversal of 11500023200 is 232000511.

It is a happy number.

11500023200 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 23 ways as a sum of consecutive naturals, for example, 3748067 + ... + 3751133.

It is an arithmetic number, because the mean of its divisors is an integer number (201391190).

Almost surely, 2^11500023200 is an apocalyptic number.

11500023200 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 11500023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500165680).

11500023200 is an abundant number, since it is smaller than the sum of its proper divisors (17500308160).

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

11500023200 is a wasteful number, since it uses less digits than its factorization.

11500023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 11500023200 its reverse (232000511), we get a palindrome (11732023711).

The spelling of 11500023200 in words is "eleven billion, five hundred million, twenty-three thousand, two hundred".