13486563230280 has 1024 divisors, whose sum is σ = 51729784012800. Its totient is φ = 2740558233600.

The previous prime is 13486563230251. The next prime is 13486563230311. The reversal of 13486563230280 is 8203236568431.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 255 ways as a sum of consecutive naturals, for example, 9571726216 + ... + 9571727624.

It is an arithmetic number, because the mean of its divisors is an integer number (50517367200).

Almost surely, 2^{13486563230280} is an apocalyptic number.

13486563230280 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 13486563230280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25864892006400).

13486563230280 is an abundant number, since it is smaller than the sum of its proper divisors (38243220782520).

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

13486563230280 is a wasteful number, since it uses less digits than its factorization.

13486563230280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 13486563230280 in words is "thirteen trillion, four hundred eighty-six billion, five hundred sixty-three million, two hundred thirty thousand, two hundred eighty".