26780940138816 has 112 divisors (see below), whose sum is σ = 78783958337280. Its totient is φ = 8920975841280.

The previous prime is 26780940138811. The next prime is 26780940138829. The reversal of 26780940138816 is 61883104908762.

26780940138816 is a `hidden beast` number, since 2 + 67 + 80 + 9 + 401 + 3 + 88 + 16 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26780940138811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641705 + ... + 7780776.

It is an arithmetic number, because the mean of its divisors is an integer number (703428199440).

Almost surely, 2^{26780940138816} is an apocalyptic number.

It is an amenable number.

26780940138816 is an abundant number, since it is smaller than the sum of its proper divisors (52003018198464).

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

26780940138816 is a wasteful number, since it uses less digits than its factorization.

26780940138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423989 (or 10423973 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 26780940138816 in words is "twenty-six trillion, seven hundred eighty billion, nine hundred forty million, one hundred thirty-eight thousand, eight hundred sixteen".