13486573116800 has 192 divisors, whose sum is σ = 40315221491040. Its totient is φ = 4351969689600.

The previous prime is 13486573116767. The next prime is 13486573116833. The reversal of 13486573116800 is 861137568431.

It is an interprime number because it is at equal distance from previous prime (13486573116767) and next prime (13486573116833).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17327411 + ... + 18089010.

Almost surely, 2^{13486573116800} is an apocalyptic number.

13486573116800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13486573116800 is an abundant number, since it is smaller than the sum of its proper divisors (26828648374240).

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

13486573116800 is a wasteful number, since it uses less digits than its factorization.

13486573116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35416469 (or 35416452 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 13486573116800 in words is "thirteen trillion, four hundred eighty-six billion, five hundred seventy-three million, one hundred sixteen thousand, eight hundred".