13278126528 has 336 divisors, whose sum is σ = 41605200000. Its totient is φ = 4192570368.

The previous prime is 13278126523. The next prime is 13278126559. The reversal of 13278126528 is 82562187231.

13278126528 is a `hidden beast` number, since 1 + 3 + 27 + 81 + 26 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13278126523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26609223 + ... + 26609721.

It is an arithmetic number, because the mean of its divisors is an integer number (123825000).

Almost surely, 2^13278126528 is an apocalyptic number.

13278126528 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 13278126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802600000).

13278126528 is an abundant number, since it is smaller than the sum of its proper divisors (28327073472).

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

13278126528 is an equidigital number, since it uses as much as digits as its factorization.

13278126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 592 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 13278126528 in words is "thirteen billion, two hundred seventy-eight million, one hundred twenty-six thousand, five hundred twenty-eight".