12605810976 has 180 divisors, whose sum is σ = 40751048646. Its totient is φ = 3819847680.

The previous prime is 12605810963. The next prime is 12605810977. The reversal of 12605810976 is 67901850621.

12605810976 is a `hidden beast` number, since 1 + 2 + 60 + 581 + 0 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11859210000 + 746600976 = 108900^2 + 27324^2 .

It is not an unprimeable number, because it can be changed into a prime (12605810977) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 293536 + ... + 333728.

Almost surely, 2^12605810976 is an apocalyptic number.

12605810976 is a gapful number since it is divisible by the number (16) 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 12605810976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375524323).

12605810976 is an abundant number, since it is smaller than the sum of its proper divisors (28145237670).

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

12605810976 is a wasteful number, since it uses less digits than its factorization.

12605810976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40237 (or 40209 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12605810976 in words is "twelve billion, six hundred five million, eight hundred ten thousand, nine hundred seventy-six".