12765983706 has 288 divisors, whose sum is σ = 35604062208. Its totient is φ = 3232535040.

The previous prime is 12765983693. The next prime is 12765983729. The reversal of 12765983706 is 60738956721.

12765983706 is a `hidden beast` number, since 12 + 7 + 6 + 598 + 37 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48539731 + ... + 48539993.

It is an arithmetic number, because the mean of its divisors is an integer number (123625216).

Almost surely, 2^12765983706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12765983706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802031104).

12765983706 is an abundant number, since it is smaller than the sum of its proper divisors (22838078502).

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

12765983706 is a wasteful number, since it uses less digits than its factorization.

12765983706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12765983706 in words is "twelve billion, seven hundred sixty-five million, nine hundred eighty-three thousand, seven hundred six".