12765868416 has 192 divisors, whose sum is σ = 42050005920. Its totient is φ = 3641573376.

The previous prime is 12765868403. The next prime is 12765868421. The reversal of 12765868416 is 61486856721.

12765868416 is a `hidden beast` number, since 12 + 7 + 6 + 586 + 8 + 41 + 6 = 666.

12765868416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9297106 + ... + 9298478.

Almost surely, 2^12765868416 is an apocalyptic number.

12765868416 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 12765868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21025002960).

12765868416 is an abundant number, since it is smaller than the sum of its proper divisors (29284137504).

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

12765868416 is a wasteful number, since it uses less digits than its factorization.

12765868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2538 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 12765868416 in words is "twelve billion, seven hundred sixty-five million, eight hundred sixty-eight thousand, four hundred sixteen".