12509608608 has 144 divisors (see below), whose sum is σ = 41146612416. Its totient is φ = 3531064320.

The previous prime is 12509608567. The next prime is 12509608619. The reversal of 12509608608 is 80680690521.

12509608608 is a `hidden beast` number, since 1 + 2 + 509 + 60 + 86 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129948 + ... + 204708.

It is an arithmetic number, because the mean of its divisors is an integer number (285740364).

Almost surely, 2^12509608608 is an apocalyptic number.

12509608608 is a gapful number since it is divisible by the number (18) 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 12509608608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20573306208).

12509608608 is an abundant number, since it is smaller than the sum of its proper divisors (28637003808).

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

12509608608 is a wasteful number, since it uses less digits than its factorization.

12509608608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74867 (or 74856 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12509608608 in words is "twelve billion, five hundred nine million, six hundred eight thousand, six hundred eight".