13206156016608 has 504 divisors, whose sum is σ = 40726415920680. Its totient is φ = 4212241781760.

The previous prime is 13206156016589. The next prime is 13206156016621. The reversal of 13206156016608 is 80661065160231.

13206156016608 is a `hidden beast` number, since 1 + 3 + 20 + 6 + 1 + 5 + 6 + 0 + 16 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1948094563 + ... + 1948101341.

It is an arithmetic number, because the mean of its divisors is an integer number (80806380795).

Almost surely, 2^{13206156016608} is an apocalyptic number.

13206156016608 is a gapful number since it is divisible by the number (18) 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 13206156016608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20363207960340).

13206156016608 is an abundant number, since it is smaller than the sum of its proper divisors (27520259904072).

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

13206156016608 is an frugal number, since it uses more digits than its factorization.

13206156016608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13206156016608 in words is "thirteen trillion, two hundred six billion, one hundred fifty-six million, sixteen thousand, six hundred eight".