26704080000000 has 1760 divisors, whose sum is σ = 107685517683744. Its totient is φ = 6552576000000.

The previous prime is 26704079999977. The next prime is 26704080000001. The reversal of 26704080000000 is 8040762.

It can be written as a sum of positive squares in 16 ways, for example, as 1192044708864 + 25512035291136 = 1091808^2 + 5050944^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26704080000001) 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 159 ways as a sum of consecutive naturals, for example, 84239999842 + ... + 84240000158.

Almost surely, 2^{26704080000000} is an apocalyptic number.

26704080000000 is a gapful number since it is divisible by the number (20) 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 26704080000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53842758841872).

26704080000000 is an abundant number, since it is smaller than the sum of its proper divisors (80981437683744).

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

26704080000000 is an frugal number, since it uses more digits than its factorization.

26704080000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 26704080000000 its reverse (8040762), we get a palindrome (26704088040762).

The spelling of 26704080000000 in words is "twenty-six trillion, seven hundred four billion, eighty million", and thus it is an aban number.