13116826067328 has 768 divisors, whose sum is σ = 41996864931840. Its totient is φ = 4064999178240.

The previous prime is 13116826067327. The next prime is 13116826067431. The reversal of 13116826067328 is 82376062861131.

13116826067328 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 8 + 2 + 606 + 7 + 3 + 28 = 666.

It is a super-2 number, since 2×13116826067328² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13116826067327) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9884570601 + ... + 9884571927.

It is an arithmetic number, because the mean of its divisors is an integer number (54683417880).

Almost surely, 2^{13116826067328} is an apocalyptic number.

13116826067328 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 13116826067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998432465920).

13116826067328 is an abundant number, since it is smaller than the sum of its proper divisors (28880038864512).

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

13116826067328 is a wasteful number, since it uses less digits than its factorization.

13116826067328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13116826067328 in words is "thirteen trillion, one hundred sixteen billion, eight hundred twenty-six million, sixty-seven thousand, three hundred twenty-eight".