13258006109712 has 960 divisors, whose sum is σ = 50956738560000. Its totient is φ = 3114106601472.

The previous prime is 13258006109707. The next prime is 13258006109737. The reversal of 13258006109712 is 21790160085231.

13258006109712 is a `hidden beast` number, since 1 + 3 + 2 + 580 + 0 + 61 + 0 + 9 + 7 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5921395089 + ... + 5921397327.

It is an arithmetic number, because the mean of its divisors is an integer number (53079936000).

Almost surely, 2^{13258006109712} is an apocalyptic number.

13258006109712 is a gapful number since it is divisible by the number (12) 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 13258006109712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25478369280000).

13258006109712 is an abundant number, since it is smaller than the sum of its proper divisors (37698732450288).

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

13258006109712 is a wasteful number, since it uses less digits than its factorization.

13258006109712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 13258006109712 in words is "thirteen trillion, two hundred fifty-eight billion, six million, one hundred nine thousand, seven hundred twelve".