13211674508000 has 384 divisors, whose sum is σ = 35878590873216. Its totient is φ = 4759990272000.

The previous prime is 13211674507951. The next prime is 13211674508003. The reversal of 13211674508000 is 80547611231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211674508003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153432959 + ... + 153519041.

It is an arithmetic number, because the mean of its divisors is an integer number (93433830399).

Almost surely, 2^{13211674508000} is an apocalyptic number.

13211674508000 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 13211674508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17939295436608).

13211674508000 is an abundant number, since it is smaller than the sum of its proper divisors (22666916365216).

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

13211674508000 is a wasteful number, since it uses less digits than its factorization.

13211674508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86223 (or 86205 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 13211674508000 in words is "thirteen trillion, two hundred eleven billion, six hundred seventy-four million, five hundred eight thousand".