12688364480 has 112 divisors (see below), whose sum is σ = 34024458240. Its totient is φ = 4465075200.

The previous prime is 12688364473. The next prime is 12688364497. The reversal of 12688364480 is 8446388621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50981 + ... + 167259.

Almost surely, 2^12688364480 is an apocalyptic number.

12688364480 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 12688364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012229120).

12688364480 is an abundant number, since it is smaller than the sum of its proper divisors (21336093760).

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

12688364480 is a wasteful number, since it uses less digits than its factorization.

12688364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116338 (or 116328 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The spelling of 12688364480 in words is "twelve billion, six hundred eighty-eight million, three hundred sixty-four thousand, four hundred eighty".