13327892170272 has 192 divisors, whose sum is σ = 39978978399360. Its totient is φ = 4317284385792.

The previous prime is 13327892170223. The next prime is 13327892170289. The reversal of 13327892170272 is 27207129872331.

13327892170272 is a `hidden beast` number, since 1 + 3 + 3 + 278 + 92 + 17 + 0 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6408438 + ... + 8229450.

It is an arithmetic number, because the mean of its divisors is an integer number (208223845830).

Almost surely, 2^{13327892170272} is an apocalyptic number.

13327892170272 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 13327892170272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989489199680).

13327892170272 is an abundant number, since it is smaller than the sum of its proper divisors (26651086229088).

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

13327892170272 is a wasteful number, since it uses less digits than its factorization.

13327892170272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821272 (or 1821258 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 13327892170272 in words is "thirteen trillion, three hundred twenty-seven billion, eight hundred ninety-two million, one hundred seventy thousand, two hundred seventy-two".