13278024089568 has 960 divisors, whose sum is σ = 46776761450496. Its totient is φ = 3615373440000.

The previous prime is 13278024089543. The next prime is 13278024089581. The reversal of 13278024089568 is 86598042087231.

13278024089568 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 80 + 2 + 408 + 95 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 10786371513 + ... + 10786372743.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13278024089568 = 26556048179136, but 3⋅13278024089568 = 39834072268704 is not.

Almost surely, 2^{13278024089568} is an apocalyptic number.

13278024089568 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 13278024089568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23388380725248).

13278024089568 is an abundant number, since it is smaller than the sum of its proper divisors (33498737360928).

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

13278024089568 is a wasteful number, since it uses less digits than its factorization.

13278024089568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 13278024089568 in words is "thirteen trillion, two hundred seventy-eight billion, twenty-four million, eighty-nine thousand, five hundred sixty-eight".