13580226396160 has 576 divisors, whose sum is σ = 35223966167040. Its totient is φ = 5014206545920.

The previous prime is 13580226396133. The next prime is 13580226396181. The reversal of 13580226396160 is 6169362208531.

It is a junction number, because it is equal to n+sod(n) for n = 13580226396098 and 13580226396107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71100661665 + ... + 71100661855.

It is an arithmetic number, because the mean of its divisors is an integer number (61152719040).

Almost surely, 2^{13580226396160} is an apocalyptic number.

13580226396160 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 13580226396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611983083520).

13580226396160 is an abundant number, since it is smaller than the sum of its proper divisors (21643739770880).

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

13580226396160 is an frugal number, since it uses more digits than its factorization.

13580226396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 13580226396160 in words is "thirteen trillion, five hundred eighty billion, two hundred twenty-six million, three hundred ninety-six thousand, one hundred sixty".