13205256412608 has 168 divisors, whose sum is σ = 40824496728288. Its totient is φ = 4056932026368.

The previous prime is 13205256412597. The next prime is 13205256412627. The reversal of 13205256412608 is 80621465250231.

13205256412608 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 25 + 6 + 4 + 12 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3539341 + ... + 6239987.

It is an arithmetic number, because the mean of its divisors is an integer number (243002956716).

Almost surely, 2^{13205256412608} is an apocalyptic number.

13205256412608 is a gapful number since it is divisible by the number (18) 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 13205256412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20412248364144).

13205256412608 is an abundant number, since it is smaller than the sum of its proper divisors (27619240315680).

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

13205256412608 is a wasteful number, since it uses less digits than its factorization.

13205256412608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701331 (or 2701318 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 13205256412608 in words is "thirteen trillion, two hundred five billion, two hundred fifty-six million, four hundred twelve thousand, six hundred eight".