11580105472 has 72 divisors (see below), whose sum is σ = 24961450640. Its totient is φ = 5329981440.

The previous prime is 11580105463. The next prime is 11580105479. The reversal of 11580105472 is 27450108511.

It is not an unprimeable number, because it can be changed into a prime (11580105479) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1256722 + ... + 1265902.

Almost surely, 2^11580105472 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 11580105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480725320).

11580105472 is an abundant number, since it is smaller than the sum of its proper divisors (13381345168).

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

11580105472 is an equidigital number, since it uses as much as digits as its factorization.

11580105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9589 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

The spelling of 11580105472 in words is "eleven billion, five hundred eighty million, one hundred five thousand, four hundred seventy-two".