11584082305068 has 384 divisors, whose sum is σ = 35691182284800. Its totient is φ = 2838925780992.

The previous prime is 11584082305057. The next prime is 11584082305073. The reversal of 11584082305068 is 86050328048511.

It is a self number, because there is not a number n which added to its sum of digits gives 11584082305068.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 559417971 + ... + 559438677.

It is an arithmetic number, because the mean of its divisors is an integer number (92945787200).

Almost surely, 2^{11584082305068} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11584082305068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845591142400).

11584082305068 is an abundant number, since it is smaller than the sum of its proper divisors (24107099979732).

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

11584082305068 is a wasteful number, since it uses less digits than its factorization.

11584082305068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21269 (or 21267 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 11584082305068 in words is "eleven trillion, five hundred eighty-four billion, eighty-two million, three hundred five thousand, sixty-eight".