13197694668480 has 1680 divisors, whose sum is σ = 57225736313856. Its totient is φ = 2875159203840.

The previous prime is 13197694668469. The next prime is 13197694668589. The reversal of 13197694668480 is 8486649679131.

It is a happy number.

13197694668480 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 7 + 6 + 9 + 466 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13197694668399 and 13197694668408.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2637953659 + ... + 2637958661.

Almost surely, 2^{13197694668480} is an apocalyptic number.

13197694668480 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 13197694668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28612868156928).

13197694668480 is an abundant number, since it is smaller than the sum of its proper divisors (44028041645376).

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

13197694668480 is a wasteful number, since it uses less digits than its factorization.

13197694668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 13197694668480 in words is "thirteen trillion, one hundred ninety-seven billion, six hundred ninety-four million, six hundred sixty-eight thousand, four hundred eighty".