13728299271480 has 192 divisors, whose sum is σ = 46969228800000. Its totient is φ = 3467906949888.

The previous prime is 13728299271431. The next prime is 13728299271503. The reversal of 13728299271480 is 8417299282731.

13728299271480 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 82 + 9 + 9 + 2 + 71 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86809521 + ... + 86967519.

It is an arithmetic number, because the mean of its divisors is an integer number (244631400000).

Almost surely, 2^{13728299271480} is an apocalyptic number.

13728299271480 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 13728299271480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23484614400000).

13728299271480 is an abundant number, since it is smaller than the sum of its proper divisors (33240929528520).

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

13728299271480 is a wasteful number, since it uses less digits than its factorization.

13728299271480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170738 (or 170731 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 13728299271480 in words is "thirteen trillion, seven hundred twenty-eight billion, two hundred ninety-nine million, two hundred seventy-one thousand, four hundred eighty".