11182223360 has 312 divisors, whose sum is σ = 34086486096. Its totient is φ = 3481927680.

The previous prime is 11182223291. The next prime is 11182223363. The reversal of 11182223360 is 6332228111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11182223363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11038214 + ... + 11039226.

It is an arithmetic number, because the mean of its divisors is an integer number (109251558).

Almost surely, 2^11182223360 is an apocalyptic number.

11182223360 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 11182223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17043243048).

11182223360 is an abundant number, since it is smaller than the sum of its proper divisors (22904262736).

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

11182223360 is a wasteful number, since it uses less digits than its factorization.

11182223360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 11182223360 in words is "eleven billion, one hundred eighty-two million, two hundred twenty-three thousand, three hundred sixty".