11184625223680 has 192 divisors, whose sum is σ = 27783070398720. Its totient is φ = 4318666555392.

The previous prime is 11184625223627. The next prime is 11184625223687. The reversal of 11184625223680 is 8632252648111.

It is not an unprimeable number, because it can be changed into a prime (11184625223687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34974267 + ... + 35292613.

It is an arithmetic number, because the mean of its divisors is an integer number (144703491660).

Almost surely, 2^{11184625223680} is an apocalyptic number.

11184625223680 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 11184625223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13891535199360).

11184625223680 is an abundant number, since it is smaller than the sum of its proper divisors (16598445175040).

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

11184625223680 is an equidigital number, since it uses as much as digits as its factorization.

11184625223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318494 (or 318474 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 11184625223680 in words is "eleven trillion, one hundred eighty-four billion, six hundred twenty-five million, two hundred twenty-three thousand, six hundred eighty".