11680984512 has 448 divisors, whose sum is σ = 38202900480. Its totient is φ = 3483648000.

The previous prime is 11680984507. The next prime is 11680984519. The reversal of 11680984512 is 21548908611.

It is a happy number.

11680984512 is a `hidden beast` number, since 116 + 80 + 9 + 8 + 451 + 2 = 666.

11680984512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11680984519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91976193 + ... + 91976319.

Almost surely, 2^11680984512 is an apocalyptic number.

11680984512 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 11680984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19101450240).

11680984512 is an abundant number, since it is smaller than the sum of its proper divisors (26521915968).

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

11680984512 is a wasteful number, since it uses less digits than its factorization.

11680984512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11680984512 in words is "eleven billion, six hundred eighty million, nine hundred eighty-four thousand, five hundred twelve".