12576381320 has 64 divisors (see below), whose sum is σ = 29289047040. Its totient is φ = 4855046400.

The previous prime is 12576381317. The next prime is 12576381353. The reversal of 12576381320 is 2318367521.

12576381320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 448925 + ... + 476115.

It is an arithmetic number, because the mean of its divisors is an integer number (457641360).

Almost surely, 2^12576381320 is an apocalyptic number.

12576381320 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 12576381320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644523520).

12576381320 is an abundant number, since it is smaller than the sum of its proper divisors (16712665720).

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

12576381320 is a wasteful number, since it uses less digits than its factorization.

12576381320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27606 (or 27602 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 12576381320 in words is "twelve billion, five hundred seventy-six million, three hundred eighty-one thousand, three hundred twenty".