26666880000000 has 1792 divisors, whose sum is σ = 101369552993280. Its totient is φ = 6193152000000.

The previous prime is 26666879999989. The next prime is 26666880000001. The reversal of 26666880000000 is 8866662.

It is a super-2 number, since 2×26666880000000² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26666879999898 and 26666879999907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26666880000001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 620159999979 + ... + 620160000021.

Almost surely, 2^{26666880000000} is an apocalyptic number.

26666880000000 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 26666880000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50684776496640).

26666880000000 is an abundant number, since it is smaller than the sum of its proper divisors (74702672993280).

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

26666880000000 is an frugal number, since it uses more digits than its factorization.

26666880000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

Adding to 26666880000000 its reverse (8866662), we get a palindrome (26666888866662).

The spelling of 26666880000000 in words is "twenty-six trillion, six hundred sixty-six billion, eight hundred eighty million", and thus it is an aban number.