12688800264 has 192 divisors, whose sum is σ = 41118704640. Its totient is φ = 3456224640.

The previous prime is 12688800203. The next prime is 12688800269. The reversal of 12688800264 is 46200888621.

12688800264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12688800264² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12688800269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3835299 + ... + 3838605.

It is an arithmetic number, because the mean of its divisors is an integer number (214159920).

Almost surely, 2^12688800264 is an apocalyptic number.

12688800264 is a gapful number since it is divisible by the number (14) 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 12688800264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559352320).

12688800264 is an abundant number, since it is smaller than the sum of its proper divisors (28429904376).

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

12688800264 is a wasteful number, since it uses less digits than its factorization.

12688800264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 12688800264 in words is "twelve billion, six hundred eighty-eight million, eight hundred thousand, two hundred sixty-four".