13471759427840 has 288 divisors, whose sum is σ = 38657041226496. Its totient is φ = 4401431838720.

The previous prime is 13471759427783. The next prime is 13471759427849. The reversal of 13471759427840 is 4872495717431.

It is not an unprimeable number, because it can be changed into a prime (13471759427849) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15370064 + ... + 16222896.

It is an arithmetic number, because the mean of its divisors is an integer number (134225837592).

Almost surely, 2^{13471759427840} is an apocalyptic number.

13471759427840 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 13471759427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19328520613248).

13471759427840 is an abundant number, since it is smaller than the sum of its proper divisors (25185281798656).

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

13471759427840 is an equidigital number, since it uses as much as digits as its factorization.

13471759427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852945 (or 852931 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 62.

The spelling of 13471759427840 in words is "thirteen trillion, four hundred seventy-one billion, seven hundred fifty-nine million, four hundred twenty-seven thousand, eight hundred forty".