26010996403968 has 288 divisors, whose sum is σ = 80898508615680. Its totient is φ = 8232326369280.

The previous prime is 26010996403963. The next prime is 26010996403979. The reversal of 26010996403968 is 86930469901062.

26010996403968 is a `hidden beast` number, since 2 + 60 + 109 + 9 + 6 + 403 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×26010996403968² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26010996403963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10211205 + ... + 12501627.

It is an arithmetic number, because the mean of its divisors is an integer number (280897599360).

Almost surely, 2^{26010996403968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26010996403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40449254307840).

26010996403968 is an abundant number, since it is smaller than the sum of its proper divisors (54887512211712).

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

26010996403968 is a wasteful number, since it uses less digits than its factorization.

26010996403968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290532 (or 2290512 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 26010996403968 in words is "twenty-six trillion, ten billion, nine hundred ninety-six million, four hundred three thousand, nine hundred sixty-eight".