26696838168 has 768 divisors, whose sum is σ = 104799744000. Its totient is φ = 6183475200.

The previous prime is 26696838167. The next prime is 26696838169. The reversal of 26696838168 is 86183869662.

It is an interprime number because it is at equal distance from previous prime (26696838167) and next prime (26696838169).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26696838167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46918588 + ... + 46919156.

It is an arithmetic number, because the mean of its divisors is an integer number (136458000).

Almost surely, 2^26696838168 is an apocalyptic number.

26696838168 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 26696838168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52399872000).

26696838168 is an abundant number, since it is smaller than the sum of its proper divisors (78102905832).

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

26696838168 is a wasteful number, since it uses less digits than its factorization.

26696838168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 636 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 26696838168 in words is "twenty-six billion, six hundred ninety-six million, eight hundred thirty-eight thousand, one hundred sixty-eight".