12864187776 has 256 divisors, whose sum is σ = 41191027200. Its totient is φ = 3508961280.

The previous prime is 12864187741. The next prime is 12864187811. The reversal of 12864187776 is 67778146821.

It is an interprime number because it is at equal distance from previous prime (12864187741) and next prime (12864187811).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1647690 + ... + 1655478.

It is an arithmetic number, because the mean of its divisors is an integer number (160902450).

Almost surely, 2^12864187776 is an apocalyptic number.

12864187776 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 12864187776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20595513600).

12864187776 is an abundant number, since it is smaller than the sum of its proper divisors (28326839424).

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

12864187776 is a wasteful number, since it uses less digits than its factorization.

12864187776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7845 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 57.

The spelling of 12864187776 in words is "twelve billion, eight hundred sixty-four million, one hundred eighty-seven thousand, seven hundred seventy-six".