12864277712160 has 1440 divisors, whose sum is σ = 54933675394752. Its totient is φ = 2824576634880.

The previous prime is 12864277712113. The next prime is 12864277712197. The reversal of 12864277712160 is 6121777246821.

12864277712160 is a `hidden beast` number, since 1 + 2 + 86 + 427 + 77 + 12 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12864277712097 and 12864277712106.

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 239 ways as a sum of consecutive naturals, for example, 1665706059 + ... + 1665713781.

Almost surely, 2^{12864277712160} is an apocalyptic number.

12864277712160 is a gapful number since it is divisible by the number (10) 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 12864277712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27466837697376).

12864277712160 is an abundant number, since it is smaller than the sum of its proper divisors (42069397682592).

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

12864277712160 is a wasteful number, since it uses less digits than its factorization.

12864277712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 12864277712160 in words is "twelve trillion, eight hundred sixty-four billion, two hundred seventy-seven million, seven hundred twelve thousand, one hundred sixty".