26395639699968 has 640 divisors, whose sum is σ = 97831478384640. Its totient is φ = 6826521231360.

The previous prime is 26395639699921. The next prime is 26395639699981. The reversal of 26395639699968 is 86999693659362.

26395639699968 is a `hidden beast` number, since 2 + 6 + 39 + 563 + 9 + 6 + 9 + 9 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247963171 + ... + 248069597.

It is an arithmetic number, because the mean of its divisors is an integer number (152861684976).

Almost surely, 2^{26395639699968} is an apocalyptic number.

26395639699968 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 26395639699968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48915739192320).

26395639699968 is an abundant number, since it is smaller than the sum of its proper divisors (71435838684672).

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

26395639699968 is a wasteful number, since it uses less digits than its factorization.

26395639699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106705 (or 106683 counting only the distinct ones).

The product of its digits is 55099802880, while the sum is 90.

The spelling of 26395639699968 in words is "twenty-six trillion, three hundred ninety-five billion, six hundred thirty-nine million, six hundred ninety-nine thousand, nine hundred sixty-eight".