11164441160 has 64 divisors (see below), whose sum is σ = 25487654400. Its totient is φ = 4400637696.

The previous prime is 11164441129. The next prime is 11164441213. The reversal of 11164441160 is 6114446111.

11164441160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1756949 + ... + 1763291.

It is an arithmetic number, because the mean of its divisors is an integer number (398244600).

Almost surely, 2^11164441160 is an apocalyptic number.

11164441160 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 11164441160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12743827200).

11164441160 is an abundant number, since it is smaller than the sum of its proper divisors (14323213240).

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

11164441160 is a wasteful number, since it uses less digits than its factorization.

11164441160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 11164441160 its reverse (6114446111), we get a palindrome (17278887271).

The spelling of 11164441160 in words is "eleven billion, one hundred sixty-four million, four hundred forty-one thousand, one hundred sixty".