13425344205000 has 1280 divisors, whose sum is σ = 53008871731200. Its totient is φ = 2757404160000.

The previous prime is 13425344204971. The next prime is 13425344205041. The reversal of 13425344205000 is 50244352431.

13425344205000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8043944166 + ... + 8043945834.

It is an arithmetic number, because the mean of its divisors is an integer number (41413181040).

Almost surely, 2^{13425344205000} is an apocalyptic number.

13425344205000 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 13425344205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26504435865600).

13425344205000 is an abundant number, since it is smaller than the sum of its proper divisors (39583527526200).

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

13425344205000 is a wasteful number, since it uses less digits than its factorization.

13425344205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 13425344205000 its reverse (50244352431), we get a palindrome (13475588557431).

The spelling of 13425344205000 in words is "thirteen trillion, four hundred twenty-five billion, three hundred forty-four million, two hundred five thousand".