12688080288 has 288 divisors, whose sum is σ = 38540888064. Its totient is φ = 3632283648.

The previous prime is 12688080259. The next prime is 12688080289. The reversal of 12688080288 is 88208088621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 12688080288.

It is not an unprimeable number, because it can be changed into a prime (12688080289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45805206 + ... + 45805482.

It is an arithmetic number, because the mean of its divisors is an integer number (133822528).

Almost surely, 2^12688080288 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 12688080288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270444032).

12688080288 is an abundant number, since it is smaller than the sum of its proper divisors (25852807776).

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

12688080288 is a wasteful number, since it uses less digits than its factorization.

12688080288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 51.

The spelling of 12688080288 in words is "twelve billion, six hundred eighty-eight million, eighty thousand, two hundred eighty-eight".