11189200000 has 192 divisors, whose sum is σ = 30406803840. Its totient is φ = 4067200000.

The previous prime is 11189199943. The next prime is 11189200003. The reversal of 11189200000 is 298111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11189200003) 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, 4398729 + ... + 4401271.

It is an arithmetic number, because the mean of its divisors is an integer number (158368770).

Almost surely, 2^11189200000 is an apocalyptic number.

11189200000 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 11189200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15203401920).

11189200000 is an abundant number, since it is smaller than the sum of its proper divisors (19217603840).

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

11189200000 is an frugal number, since it uses more digits than its factorization.

11189200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 11189200000 its reverse (298111), we get a palindrome (11189498111).

The spelling of 11189200000 in words is "eleven billion, one hundred eighty-nine million, two hundred thousand".