12867520065264 has 160 divisors (see below), whose sum is σ = 37237037629440. Its totient is φ = 4254066770688.

The previous prime is 12867520065259. The next prime is 12867520065313. The reversal of 12867520065264 is 46256002576821.

12867520065264 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 7 + 520 + 0 + 6 + 52 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12867520065264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183375274 + ... + 183445430.

It is an arithmetic number, because the mean of its divisors is an integer number (232731485184).

Almost surely, 2^{12867520065264} 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 12867520065264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618518814720).

12867520065264 is an abundant number, since it is smaller than the sum of its proper divisors (24369517564176).

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

12867520065264 is a wasteful number, since it uses less digits than its factorization.

12867520065264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73644 (or 73632 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 12867520065264 in words is "twelve trillion, eight hundred sixty-seven billion, five hundred twenty million, sixty-five thousand, two hundred sixty-four".