11235315200 has 240 divisors, whose sum is σ = 28884200400. Its totient is φ = 4328325120.

The previous prime is 11235315131. The next prime is 11235315209. The reversal of 11235315200 is 251353211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11235315209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75404726 + ... + 75404874.

It is an arithmetic number, because the mean of its divisors is an integer number (120350835).

Almost surely, 2^11235315200 is an apocalyptic number.

11235315200 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 11235315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14442100200).

11235315200 is an abundant number, since it is smaller than the sum of its proper divisors (17648885200).

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

11235315200 is a wasteful number, since it uses less digits than its factorization.

11235315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 11235315200 its reverse (251353211), we get a palindrome (11486668411).

The spelling of 11235315200 in words is "eleven billion, two hundred thirty-five million, three hundred fifteen thousand, two hundred".