26073831168 has 648 divisors, whose sum is σ = 97710133248. Its totient is φ = 6538752000.

The previous prime is 26073831163. The next prime is 26073831169. The reversal of 26073831168 is 86113837062.

26073831168 is a `hidden beast` number, since 2 + 607 + 3 + 8 + 31 + 1 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) 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 (26073831163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60495913 + ... + 60496343.

Almost surely, 2^26073831168 is an apocalyptic number.

26073831168 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 26073831168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48855066624).

26073831168 is an abundant number, since it is smaller than the sum of its proper divisors (71636302080).

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

26073831168 is a wasteful number, since it uses less digits than its factorization.

26073831168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26073831168 in words is "twenty-six billion, seventy-three million, eight hundred thirty-one thousand, one hundred sixty-eight".