13326777372672 has 520 divisors, whose sum is σ = 40313186200584. Its totient is φ = 4386535243776.

The previous prime is 13326777372583. The next prime is 13326777372677. The reversal of 13326777372672 is 27627377762331.

13326777372672 is a `hidden beast` number, since 1 + 332 + 6 + 7 + 7 + 7 + 37 + 267 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28677390336 + 13298099982336 = 169344^2 + 3646656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13326777372677) 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 39 ways as a sum of consecutive naturals, for example, 13984026148 + ... + 13984027100.

Almost surely, 2^{13326777372672} is an apocalyptic number.

13326777372672 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 13326777372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20156593100292).

13326777372672 is an abundant number, since it is smaller than the sum of its proper divisors (26986408827912).

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

13326777372672 is an equidigital number, since it uses as much as digits as its factorization.

13326777372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1444 counting only the distinct ones).

The product of its digits is 130691232, while the sum is 63.

The spelling of 13326777372672 in words is "thirteen trillion, three hundred twenty-six billion, seven hundred seventy-seven million, three hundred seventy-two thousand, six hundred seventy-two".