11131516200 has 240 divisors, whose sum is σ = 40261798080. Its totient is φ = 2544017280.

The previous prime is 11131516163. The next prime is 11131516217. The reversal of 11131516200 is 261513111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1436737 + ... + 1444463.

It is an arithmetic number, because the mean of its divisors is an integer number (167757492).

Almost surely, 2^11131516200 is an apocalyptic number.

11131516200 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 11131516200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20130899040).

11131516200 is an abundant number, since it is smaller than the sum of its proper divisors (29130281880).

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

11131516200 is an equidigital number, since it uses as much as digits as its factorization.

11131516200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7774 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 11131516200 in words is "eleven billion, one hundred thirty-one million, five hundred sixteen thousand, two hundred".