13205068800 has 1188 divisors, whose sum is σ = 57728102040. Its totient is φ = 2649292800.

The previous prime is 13205068777. The next prime is 13205068841. The reversal of 13205068800 is 886050231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 455347186 + ... + 455347214.

Almost surely, 2^13205068800 is an apocalyptic number.

13205068800 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 13205068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28864051020).

13205068800 is an abundant number, since it is smaller than the sum of its proper divisors (44523033240).

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

13205068800 is a wasteful number, since it uses less digits than its factorization.

13205068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 13205068800 in words is "thirteen billion, two hundred five million, sixty-eight thousand, eight hundred".