12609540000 has 480 divisors, whose sum is σ = 48415752000. Its totient is φ = 3182976000.

The previous prime is 12609539989. The next prime is 12609540029. The reversal of 12609540000 is 4590621.

12609540000 is a `hidden beast` number, since 1 + 2 + 609 + 54 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 10259386 + ... + 10260614.

It is an arithmetic number, because the mean of its divisors is an integer number (100866150).

Almost surely, 2^12609540000 is an apocalyptic number.

12609540000 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 12609540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24207876000).

12609540000 is an abundant number, since it is smaller than the sum of its proper divisors (35806212000).

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

12609540000 is a wasteful number, since it uses less digits than its factorization.

12609540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12609540000 in words is "twelve billion, six hundred nine million, five hundred forty thousand".