11586216544 has 48 divisors (see below), whose sum is σ = 26186001408. Its totient is φ = 4943233152.

The previous prime is 11586216541. The next prime is 11586216547. The reversal of 11586216544 is 44561268511.

It is an interprime number because it is at equal distance from previous prime (11586216541) and next prime (11586216547).

It is a self number, because there is not a number n which added to its sum of digits gives 11586216544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11586216541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66022 + ... + 165925.

It is an arithmetic number, because the mean of its divisors is an integer number (545541696).

Almost surely, 2^11586216544 is an apocalyptic number.

11586216544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11586216544 is an abundant number, since it is smaller than the sum of its proper divisors (14599784864).

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

11586216544 is a wasteful number, since it uses less digits than its factorization.

11586216544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232187 (or 232179 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The spelling of 11586216544 in words is "eleven billion, five hundred eighty-six million, two hundred sixteen thousand, five hundred forty-four".