1088921004889760

1088921004889760 is a number that belongs to the set of natural numbers. It is an even number, meaning it is divisible by 2 without leaving a remainder. This number is not a prime number, as it has more than two distinct positive divisors: 1, 2, 3, 6, 15, 18, 30, 45, 90, 135, 180, 270, 540, 810, 1350, 2700, 4050, 9000, 13500, 18000, 27000, 45000, 90000, 135000, 270000, 405000, 810000, 1350000, 2700000, 4050000, 8100000, 1088921004889760.

The number 1088921004889760 is not a perfect square, perfect cube, or any other perfect power. It is a composite number, meaning it can be factored into smaller positive integers. The prime factorization of 1088921004889760 includes the prime numbers 2 and 3, with 2 appearing 24 times and 3 appearing 12 times.

In the context of combinatorics, 1088921004889760 can be represented as a product of factorials, specifically 24! (24 factorial) multiplied by 12! (12 factorial). This connection arises from the formula for the number of permutations of a multiset, where the number of elements is the sum of the counts of each distinct element.

The number 1088921004889760 does not hold any significant cultural, historical, or scientific importance beyond its mathematical properties. It is simply a large even composite number with a specific prime factorization.