11250915200 has 192 divisors, whose sum is σ = 32084687520. Its totient is φ = 3818496000.

The previous prime is 11250915191. The next prime is 11250915217. The reversal of 11250915200 is 251905211.

11250915200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11250915200.

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 23 ways as a sum of consecutive naturals, for example, 2259914 + ... + 2264886.

Almost surely, 2^11250915200 is an apocalyptic number.

11250915200 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 11250915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042343760).

11250915200 is an abundant number, since it is smaller than the sum of its proper divisors (20833772320).

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

11250915200 is a wasteful number, since it uses less digits than its factorization.

11250915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 11250915200 in words is "eleven billion, two hundred fifty million, nine hundred fifteen thousand, two hundred".