11866644785568 has 192 divisors, whose sum is σ = 33031079424000. Its totient is φ = 3719830625280.

The previous prime is 11866644785561. The next prime is 11866644785579. The reversal of 11866644785568 is 86558744666811.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11866644785568.

It is not an unprimeable number, because it can be changed into a prime (11866644785561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156404730 + ... + 156480582.

It is an arithmetic number, because the mean of its divisors is an integer number (172036872000).

Almost surely, 2^{11866644785568} 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 11866644785568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16515539712000).

11866644785568 is an abundant number, since it is smaller than the sum of its proper divisors (21164434638432).

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

11866644785568 is a wasteful number, since it uses less digits than its factorization.

11866644785568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76515 (or 76507 counting only the distinct ones).

The product of its digits is 1857945600, while the sum is 75.

The spelling of 11866644785568 in words is "eleven trillion, eight hundred sixty-six billion, six hundred forty-four million, seven hundred eighty-five thousand, five hundred sixty-eight".