11586690882 has 192 divisors, whose sum is σ = 28644295680. Its totient is φ = 3360614400.

The previous prime is 11586690881. The next prime is 11586690919. The reversal of 11586690882 is 28809668511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11586690881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84574318 + ... + 84574454.

It is an arithmetic number, because the mean of its divisors is an integer number (149189040).

Almost surely, 2^11586690882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11586690882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322147840).

11586690882 is an abundant number, since it is smaller than the sum of its proper divisors (17057604798).

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

11586690882 is a wasteful number, since it uses less digits than its factorization.

11586690882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11586690882 in words is "eleven billion, five hundred eighty-six million, six hundred ninety thousand, eight hundred eighty-two".