12785076668 has 192 divisors, whose sum is σ = 30557184000. Its totient is φ = 4633251840.

The previous prime is 12785076659. The next prime is 12785076673. The reversal of 12785076668 is 86667058721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10504796 + ... + 10506012.

It is an arithmetic number, because the mean of its divisors is an integer number (159152000).

Almost surely, 2^12785076668 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 12785076668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15278592000).

12785076668 is an abundant number, since it is smaller than the sum of its proper divisors (17772107332).

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

12785076668 is a wasteful number, since it uses less digits than its factorization.

12785076668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 12785076668 in words is "twelve billion, seven hundred eighty-five million, seventy-six thousand, six hundred sixty-eight".