18480

18480 is a positive integer, the successor to 18479 and predecessor to 18481. It is an even number. In Roman numerals, 18480 is represented as XVIII CD L. Its prime factorization is 2^4 * 3 * 5 * 7 * 11.

The number 18480 appears in various contexts within mathematics. For instance, it is the number of permutations of 11 items taken 11 at a time, denoted as 11! (11 factorial), which equals 39,916,800. However, 18480 itself is not a factorial of any integer. It is a highly composite number, meaning it has more divisors than any smaller positive integer. The number of divisors of 18480 is 64.

In the realm of geometry, 18480 degrees is equivalent to 32 revolutions, as a full revolution is 360 degrees.

Outside of pure mathematics, the number 18480 might be encountered as a specific identifier, such as a zip code, a product model number, or a part of a larger serial number, depending on the system in which it is used. Without further context, its significance beyond its mathematical properties remains undefined.