26439788991168 has 252 divisors, whose sum is σ = 88187123879400. Its totient is φ = 7551723239424.

The previous prime is 26439788991163. The next prime is 26439788991181. The reversal of 26439788991168 is 86119988793462.

26439788991168 is a `hidden beast` number, since 2 + 6 + 4 + 397 + 8 + 89 + 91 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26439788991163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85901355 + ... + 86208597.

Almost surely, 2^{26439788991168} is an apocalyptic number.

26439788991168 is a gapful number since it is divisible by the number (28) 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 26439788991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44093561939700).

26439788991168 is an abundant number, since it is smaller than the sum of its proper divisors (61747334888232).

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

26439788991168 is a wasteful number, since it uses less digits than its factorization.

26439788991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310324 (or 310304 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 81.

The spelling of 26439788991168 in words is "twenty-six trillion, four hundred thirty-nine billion, seven hundred eighty-eight million, nine hundred ninety-one thousand, one hundred sixty-eight".