11808130816 has 72 divisors (see below), whose sum is σ = 24790155264. Its totient is φ = 5602544640.

The previous prime is 11808130781. The next prime is 11808130819. The reversal of 11808130816 is 61803180811.

11808130816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11808130819) 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 7 ways as a sum of consecutive naturals, for example, 739881 + ... + 755671.

It is an arithmetic number, because the mean of its divisors is an integer number (344307712).

Almost surely, 2^11808130816 is an apocalyptic number.

11808130816 is a gapful number since it is divisible by the number (16) 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 11808130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395077632).

11808130816 is an abundant number, since it is smaller than the sum of its proper divisors (12982024448).

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

11808130816 is a wasteful number, since it uses less digits than its factorization.

11808130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957 (or 15943 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The spelling of 11808130816 in words is "eleven billion, eight hundred eight million, one hundred thirty thousand, eight hundred sixteen".