12609166752 has 192 divisors, whose sum is σ = 45263957760. Its totient is φ = 3325473792.

The previous prime is 12609166751. The next prime is 12609166777. The reversal of 12609166752 is 25766190621.

12609166752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12609166698 and 12609166707.

It is not an unprimeable number, because it can be changed into a prime (12609166751) 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 31 ways as a sum of consecutive naturals, for example, 1563 + ... + 158810.

It is an arithmetic number, because the mean of its divisors is an integer number (235749780).

Almost surely, 2^12609166752 is an apocalyptic number.

12609166752 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 12609166752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22631978880).

12609166752 is an abundant number, since it is smaller than the sum of its proper divisors (32654791008).

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

12609166752 is a wasteful number, since it uses less digits than its factorization.

12609166752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160412 (or 160398 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12609166752 in words is "twelve billion, six hundred nine million, one hundred sixty-six thousand, seven hundred fifty-two".