11580558984 has 160 divisors (see below), whose sum is σ = 35076602880. Its totient is φ = 3555657216.

The previous prime is 11580558971. The next prime is 11580559021. The reversal of 11580558984 is 48985508511.

11580558984 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 0 + 558 + 9 + 84 = 666.

It is a super-2 number, since 2×11580558984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11580558984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 506569 + ... + 528935.

It is an arithmetic number, because the mean of its divisors is an integer number (219228768).

Almost surely, 2^11580558984 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 11580558984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17538301440).

11580558984 is an abundant number, since it is smaller than the sum of its proper divisors (23496043896).

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

11580558984 is a wasteful number, since it uses less digits than its factorization.

11580558984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22449 (or 22436 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 54.

The spelling of 11580558984 in words is "eleven billion, five hundred eighty million, five hundred fifty-eight thousand, nine hundred eighty-four".