13288697326080 has 1600 divisors, whose sum is σ = 55934927364096. Its totient is φ = 2981670912000.

The previous prime is 13288697326043. The next prime is 13288697326139. The reversal of 13288697326080 is 8062379688231.

13288697326080 is a `hidden beast` number, since 1 + 3 + 288 + 6 + 97 + 3 + 260 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13288697325999 and 13288697326017.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1626320395 + ... + 1626328565.

Almost surely, 2^{13288697326080} is an apocalyptic number.

13288697326080 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 13288697326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27967463682048).

13288697326080 is an abundant number, since it is smaller than the sum of its proper divisors (42646230038016).

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

13288697326080 is a wasteful number, since it uses less digits than its factorization.

13288697326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 13288697326080 in words is "thirteen trillion, two hundred eighty-eight billion, six hundred ninety-seven million, three hundred twenty-six thousand, eighty".