11682423360 has 168 divisors, whose sum is σ = 40223075256. Its totient is φ = 3112181760.

The previous prime is 11682423349. The next prime is 11682423421. The reversal of 11682423360 is 6332428611.

It can be written as a sum of positive squares in 4 ways, for example, as 853107264 + 10829316096 = 29208^2 + 104064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4955302 + ... + 4957658.

It is an arithmetic number, because the mean of its divisors is an integer number (239423067).

Almost surely, 2^11682423360 is an apocalyptic number.

11682423360 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 11682423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20111537628).

11682423360 is an abundant number, since it is smaller than the sum of its proper divisors (28540651896).

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

11682423360 is a wasteful number, since it uses less digits than its factorization.

11682423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 11682423360 in words is "eleven billion, six hundred eighty-two million, four hundred twenty-three thousand, three hundred sixty".