12608077824 has 144 divisors (see below), whose sum is σ = 36641437560. Its totient is φ = 4177526784.

The previous prime is 12608077789. The next prime is 12608077841. The reversal of 12608077824 is 42877080621.

12608077824 is a `hidden beast` number, since 12 + 608 + 0 + 7 + 7 + 8 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12608077824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75497389 + ... + 75497555.

Almost surely, 2^12608077824 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 12608077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320718780).

12608077824 is an abundant number, since it is smaller than the sum of its proper divisors (24033359736).

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

12608077824 is an frugal number, since it uses more digits than its factorization.

12608077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12608077824 in words is "twelve billion, six hundred eight million, seventy-seven thousand, eight hundred twenty-four".