12509609984 has 64 divisors (see below), whose sum is σ = 25102526400. Its totient is φ = 6233915392.

The previous prime is 12509609951. The next prime is 12509609989. The reversal of 12509609984 is 48990690521.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12509609989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15695474 + ... + 15696270.

It is an arithmetic number, because the mean of its divisors is an integer number (392226975).

Almost surely, 2^12509609984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12509609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12551263200).

12509609984 is an abundant number, since it is smaller than the sum of its proper divisors (12592916416).

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

12509609984 is an frugal number, since it uses more digits than its factorization.

12509609984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The spelling of 12509609984 in words is "twelve billion, five hundred nine million, six hundred nine thousand, nine hundred eighty-four".