13205606400 has 936 divisors, whose sum is σ = 57040813440. Its totient is φ = 2854748160.

The previous prime is 13205606357. The next prime is 13205606417. The reversal of 13205606400 is 460650231.

13205606400 is a `hidden beast` number, since 13 + 2 + 0 + 5 + 6 + 0 + 640 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148377556 + ... + 148377644.

It is an arithmetic number, because the mean of its divisors is an integer number (60941040).

Almost surely, 2^13205606400 is an apocalyptic number.

13205606400 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 13205606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28520406720).

13205606400 is an abundant number, since it is smaller than the sum of its proper divisors (43835207040).

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

13205606400 is a wasteful number, since it uses less digits than its factorization.

13205606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 13205606400 in words is "thirteen billion, two hundred five million, six hundred six thousand, four hundred".