11663761855680 has 1008 divisors, whose sum is σ = 46364878832160. Its totient is φ = 2758197657600.

The previous prime is 11663761855679. The next prime is 11663761855687. The reversal of 11663761855680 is 8655816736611.

It is a happy number.

11663761855680 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 3 + 7 + 61 + 8 + 5 + 568 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11663761855687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1757381322 + ... + 1757387958.

Almost surely, 2^{11663761855680} is an apocalyptic number.

11663761855680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11663761855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182439416080).

11663761855680 is an abundant number, since it is smaller than the sum of its proper divisors (34701116976480).

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

11663761855680 is a wasteful number, since it uses less digits than its factorization.

11663761855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 11663761855680 in words is "eleven trillion, six hundred sixty-three billion, seven hundred sixty-one million, eight hundred fifty-five thousand, six hundred eighty".