11516160 has 72 divisors (see below), whose sum is σ = 36792000. Its totient is φ = 3069952.

The previous prime is 11516143. The next prime is 11516207. The reversal of 11516160 is 6161511.

It is a super-2 number, since 2×11516160² = 265243882291200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2341 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (511000).

Almost surely, 2^11516160 is an apocalyptic number.

11516160 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 11516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18396000).

11516160 is an abundant number, since it is smaller than the sum of its proper divisors (25275840).

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

11516160 is an equidigital number, since it uses as much as digits as its factorization.

11516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11516160 is about 3393.5468171222. The cubic root of 11516160 is about 225.8235498486.

Adding to 11516160 its reverse (6161511), we get a palindrome (17677671).

The spelling of 11516160 in words is "eleven million, five hundred sixteen thousand, one hundred sixty".