11331045200 has 120 divisors (see below), whose sum is σ = 28742356800. Its totient is φ = 4280878080.

The previous prime is 11331045169. The next prime is 11331045217. The reversal of 11331045200 is 254013311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2726324 + ... + 2730476.

It is an arithmetic number, because the mean of its divisors is an integer number (239519640).

Almost surely, 2^11331045200 is an apocalyptic number.

11331045200 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 11331045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14371178400).

11331045200 is an abundant number, since it is smaller than the sum of its proper divisors (17411311600).

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

11331045200 is a wasteful number, since it uses less digits than its factorization.

11331045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11331045200 its reverse (254013311), we get a palindrome (11585058511).

The spelling of 11331045200 in words is "eleven billion, three hundred thirty-one million, forty-five thousand, two hundred".