13196564294400 has 1296 divisors, whose sum is σ = 49475320876800. Its totient is φ = 3352087756800.

The previous prime is 13196564294393. The next prime is 13196564294401. The reversal of 13196564294400 is 449246569131.

13196564294400 is a `hidden beast` number, since 1 + 3 + 1 + 96 + 5 + 64 + 2 + 94 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (13196564294401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 51348499072 + ... + 51348499328.

Almost surely, 2^{13196564294400} is an apocalyptic number.

13196564294400 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 13196564294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24737660438400).

13196564294400 is an abundant number, since it is smaller than the sum of its proper divisors (36278756582400).

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

13196564294400 is a wasteful number, since it uses less digits than its factorization.

13196564294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13196564294400 in words is "thirteen trillion, one hundred ninety-six billion, five hundred sixty-four million, two hundred ninety-four thousand, four hundred".