12609412560 has 200 divisors, whose sum is σ = 44412800256. Its totient is φ = 3315029760.

The previous prime is 12609412559. The next prime is 12609412589. The reversal of 12609412560 is 6521490621.

12609412560 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 94 + 1 + 2 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 446377 + ... + 473783.

Almost surely, 2^12609412560 is an apocalyptic number.

12609412560 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 12609412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22206400128).

12609412560 is an abundant number, since it is smaller than the sum of its proper divisors (31803387696).

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

12609412560 is a wasteful number, since it uses less digits than its factorization.

12609412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27503 (or 27488 counting only the distinct ones).

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

The spelling of 12609412560 in words is "twelve billion, six hundred nine million, four hundred twelve thousand, five hundred sixty".