11191132108800 has 3024 divisors, whose sum is σ = 50299970830200. Its totient is φ = 2458062028800.

The previous prime is 11191132108781. The next prime is 11191132108823. The reversal of 11191132108800 is 880123119111.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×11191132108800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 53038540695 + ... + 53038540905.

Almost surely, 2^{11191132108800} is an apocalyptic number.

11191132108800 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 11191132108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25149985415100).

11191132108800 is an abundant number, since it is smaller than the sum of its proper divisors (39108838721400).

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

11191132108800 is an equidigital number, since it uses as much as digits as its factorization.

11191132108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 36.

The spelling of 11191132108800 in words is "eleven trillion, one hundred ninety-one billion, one hundred thirty-two million, one hundred eight thousand, eight hundred".