11132108800 has 192 divisors, whose sum is σ = 28084631040. Its totient is φ = 4376494080.

The previous prime is 11132108789. The next prime is 11132108821. The reversal of 11132108800 is 880123111.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87654337 + ... + 87654463.

It is an arithmetic number, because the mean of its divisors is an integer number (146274120).

Almost surely, 2^11132108800 is an apocalyptic number.

11132108800 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 11132108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042315520).

11132108800 is an abundant number, since it is smaller than the sum of its proper divisors (16952522240).

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

11132108800 is an equidigital number, since it uses as much as digits as its factorization.

11132108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The spelling of 11132108800 in words is "eleven billion, one hundred thirty-two million, one hundred eight thousand, eight hundred".