11807984832768 has 432 divisors, whose sum is σ = 38088631316736. Its totient is φ = 3634552995840.

The previous prime is 11807984832641. The next prime is 11807984832797. The reversal of 11807984832768 is 86723848970811.

11807984832768 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 79 + 8 + 483 + 2 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11807984832696 and 11807984832705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55944073 + ... + 56154743.

It is an arithmetic number, because the mean of its divisors is an integer number (88168128048).

Almost surely, 2^{11807984832768} is an apocalyptic number.

11807984832768 is a gapful number since it is divisible by the number (18) 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 11807984832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19044315658368).

11807984832768 is an abundant number, since it is smaller than the sum of its proper divisors (26280646483968).

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

11807984832768 is an equidigital number, since it uses as much as digits as its factorization.

11807984832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210772 (or 210746 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 11807984832768 in words is "eleven trillion, eight hundred seven billion, nine hundred eighty-four million, eight hundred thirty-two thousand, seven hundred sixty-eight".