11668596784992 has 480 divisors, whose sum is σ = 41554173165120. Its totient is φ = 3135681331200.

The previous prime is 11668596784987. The next prime is 11668596785011. The reversal of 11668596784992 is 29948769586611.

11668596784992 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 8 + 59 + 6 + 78 + 499 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 79 ways as a sum of consecutive naturals, for example, 493813434 + ... + 493837062.

It is an arithmetic number, because the mean of its divisors is an integer number (86571194094).

Almost surely, 2^{11668596784992} is an apocalyptic number.

11668596784992 is a gapful number since it is divisible by the number (12) 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 11668596784992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20777086582560).

11668596784992 is an abundant number, since it is smaller than the sum of its proper divisors (29885576380128).

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

11668596784992 is a wasteful number, since it uses less digits than its factorization.

11668596784992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25276 (or 25259 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 81.

The spelling of 11668596784992 in words is "eleven trillion, six hundred sixty-eight billion, five hundred ninety-six million, seven hundred eighty-four thousand, nine hundred ninety-two".