11581587909564 has 12 divisors (see below), whose sum is σ = 27023705122344. Its totient is φ = 3860529303184.

The previous prime is 11581587909557. The next prime is 11581587909643. The reversal of 11581587909564 is 46590978518511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 482566162887 + ... + 482566162910.

It is an arithmetic number, because the mean of its divisors is an integer number (2251975426862).

Almost surely, 2^{11581587909564} is an apocalyptic number.

It is an amenable number.

11581587909564 is an abundant number, since it is smaller than the sum of its proper divisors (15442117212780).

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

11581587909564 is a wasteful number, since it uses less digits than its factorization.

11581587909564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965132325804 (or 965132325802 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 69.

The spelling of 11581587909564 in words is "eleven trillion, five hundred eighty-one billion, five hundred eighty-seven million, nine hundred nine thousand, five hundred sixty-four".