13292675728128 has 288 divisors, whose sum is σ = 39826274503680. Its totient is φ = 4372678103040.

The previous prime is 13292675728109. The next prime is 13292675728139. The reversal of 13292675728128 is 82182757629231.

13292675728128 is a `hidden beast` number, since 1 + 3 + 29 + 26 + 7 + 572 + 8 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 539835625 + ... + 539860247.

It is an arithmetic number, because the mean of its divisors is an integer number (138285675360).

Almost surely, 2^{13292675728128} is an apocalyptic number.

13292675728128 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 13292675728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19913137251840).

13292675728128 is an abundant number, since it is smaller than the sum of its proper divisors (26533598775552).

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

13292675728128 is an equidigital number, since it uses as much as digits as its factorization.

13292675728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25672 (or 25652 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 13292675728128 in words is "thirteen trillion, two hundred ninety-two billion, six hundred seventy-five million, seven hundred twenty-eight thousand, one hundred twenty-eight".