12609305280 has 672 divisors, whose sum is σ = 53980250688. Its totient is φ = 2654208000.

The previous prime is 12609305239. The next prime is 12609305311. The reversal of 12609305280 is 8250390621.

12609305280 is a `hidden beast` number, since 12 + 60 + 9 + 305 + 280 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7000380 + ... + 7002180.

It is an arithmetic number, because the mean of its divisors is an integer number (80327754).

Almost surely, 2^12609305280 is an apocalyptic number.

12609305280 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 12609305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26990125344).

12609305280 is an abundant number, since it is smaller than the sum of its proper divisors (41370945408).

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

12609305280 is a wasteful number, since it uses less digits than its factorization.

12609305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12609305280 in words is "twelve billion, six hundred nine million, three hundred five thousand, two hundred eighty".