13480306549872 has 320 divisors, whose sum is σ = 38720716001280. Its totient is φ = 4022494691328.

The previous prime is 13480306549859. The next prime is 13480306549939. The reversal of 13480306549872 is 27894560308431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1304077888 + ... + 1304088224.

It is an arithmetic number, because the mean of its divisors is an integer number (121002237504).

It is a 1-persistent number, because it is pandigital, but 2⋅13480306549872 = 26960613099744 is not.

Almost surely, 2^{13480306549872} is an apocalyptic number.

13480306549872 is a gapful number since it is divisible by the number (12) 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 13480306549872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19360358000640).

13480306549872 is an abundant number, since it is smaller than the sum of its proper divisors (25240409451408).

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

13480306549872 is a wasteful number, since it uses less digits than its factorization.

13480306549872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 13480306549872 in words is "thirteen trillion, four hundred eighty billion, three hundred six million, five hundred forty-nine thousand, eight hundred seventy-two".