13580200226208 has 1152 divisors, whose sum is σ = 50247616204800. Its totient is φ = 3158600417280.

The previous prime is 13580200226207. The next prime is 13580200226233. The reversal of 13580200226208 is 80262200208531.

It is not an unprimeable number, because it can be changed into a prime (13580200226207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4026147210 + ... + 4026150582.

It is an arithmetic number, because the mean of its divisors is an integer number (43617722400).

Almost surely, 2^{13580200226208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13580200226208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123808102400).

13580200226208 is an abundant number, since it is smaller than the sum of its proper divisors (36667415978592).

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

13580200226208 is a wasteful number, since it uses less digits than its factorization.

13580200226208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 13580200226208 in words is "thirteen trillion, five hundred eighty billion, two hundred million, two hundred twenty-six thousand, two hundred eight".