12759218560 has 128 divisors (see below), whose sum is σ = 33337280160. Its totient is φ = 4631101440.

The previous prime is 12759218551. The next prime is 12759218567. The reversal of 12759218560 is 6581295721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12759218560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12759218567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4736574 + ... + 4739266.

Almost surely, 2^12759218560 is an apocalyptic number.

12759218560 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 12759218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668640080).

12759218560 is an abundant number, since it is smaller than the sum of its proper divisors (20578061600).

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

12759218560 is a wasteful number, since it uses less digits than its factorization.

12759218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 12759218560 in words is "twelve billion, seven hundred fifty-nine million, two hundred eighteen thousand, five hundred sixty".