11319091200 has 672 divisors, whose sum is σ = 43880227200. Its totient is φ = 2854748160.

The previous prime is 11319091187. The next prime is 11319091211. The reversal of 11319091200 is 219091311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127180756 + ... + 127180844.

Almost surely, 2^11319091200 is an apocalyptic number.

11319091200 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 11319091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21940113600).

11319091200 is an abundant number, since it is smaller than the sum of its proper divisors (32561136000).

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

11319091200 is an equidigital number, since it uses as much as digits as its factorization.

11319091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 11319091200 in words is "eleven billion, three hundred nineteen million, ninety-one thousand, two hundred".