11235325200 has 360 divisors, whose sum is σ = 41069142240. Its totient is φ = 2603673600.

The previous prime is 11235325193. The next prime is 11235325229. The reversal of 11235325200 is 252353211.

It is a happy number.

11235325200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 71 ways as a sum of consecutive naturals, for example, 6981996 + ... + 6983604.

Almost surely, 2^11235325200 is an apocalyptic number.

11235325200 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 11235325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534571120).

11235325200 is an abundant number, since it is smaller than the sum of its proper divisors (29833817040).

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

11235325200 is a wasteful number, since it uses less digits than its factorization.

11235325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 11235325200 its reverse (252353211), we get a palindrome (11487678411).

The spelling of 11235325200 in words is "eleven billion, two hundred thirty-five million, three hundred twenty-five thousand, two hundred".