12606579920 has 80 divisors (see below), whose sum is σ = 32002058880. Its totient is φ = 4580313600.

The previous prime is 12606579901. The next prime is 12606579929. The reversal of 12606579920 is 2997560621.

12606579920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606579929) 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 15 ways as a sum of consecutive naturals, for example, 1155290 + ... + 1166150.

It is an arithmetic number, because the mean of its divisors is an integer number (400025736).

Almost surely, 2^12606579920 is an apocalyptic number.

12606579920 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 12606579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16001029440).

12606579920 is an abundant number, since it is smaller than the sum of its proper divisors (19395478960).

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

12606579920 is a wasteful number, since it uses less digits than its factorization.

12606579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 12606579920 in words is "twelve billion, six hundred six million, five hundred seventy-nine thousand, nine hundred twenty".