11107064000 has 112 divisors (see below), whose sum is σ = 28178369856. Its totient is φ = 4334336000.

The previous prime is 11107063937. The next prime is 11107064029. The reversal of 11107064000 is 46070111.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 311069 + ... + 344931.

It is an arithmetic number, because the mean of its divisors is an integer number (251592588).

Almost surely, 2^11107064000 is an apocalyptic number.

11107064000 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 11107064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089184928).

11107064000 is an abundant number, since it is smaller than the sum of its proper divisors (17071305856).

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

11107064000 is an equidigital number, since it uses as much as digits as its factorization.

11107064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33931 (or 33911 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The spelling of 11107064000 in words is "eleven billion, one hundred seven million, sixty-four thousand".