13205556000 has 1152 divisors, whose sum is σ = 60100185600. Its totient is φ = 2670796800.

The previous prime is 13205555989. The next prime is 13205556031. The reversal of 13205556000 is 65550231.

13205556000 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 5 + 55 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95003931 + ... + 95004069.

It is an arithmetic number, because the mean of its divisors is an integer number (52170300).

Almost surely, 2^13205556000 is an apocalyptic number.

13205556000 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 13205556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30050092800).

13205556000 is an abundant number, since it is smaller than the sum of its proper divisors (46894629600).

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

13205556000 is a wasteful number, since it uses less digits than its factorization.

13205556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 13205556000 in words is "thirteen billion, two hundred five million, five hundred fifty-six thousand".