26026676885664 has 360 divisors, whose sum is σ = 92985646857012. Its totient is φ = 6864176148480.

The previous prime is 26026676885593. The next prime is 26026676885707. The reversal of 26026676885664 is 46658867662062.

26026676885664 is a `hidden beast` number, since 2 + 602 + 6 + 6 + 7 + 6 + 8 + 8 + 5 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21769503008400 + 4257173877264 = 4665780^2 + 2063292^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26026676885592 and 26026676885601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7541704 + ... + 10436984.

Almost surely, 2^{26026676885664} is an apocalyptic number.

26026676885664 is a gapful number since it is divisible by the number (24) 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 26026676885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46492823428506).

26026676885664 is an abundant number, since it is smaller than the sum of its proper divisors (66958969971348).

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

26026676885664 is a wasteful number, since it uses less digits than its factorization.

26026676885664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895338 (or 2895306 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 26026676885664 in words is "twenty-six trillion, twenty-six billion, six hundred seventy-six million, eight hundred eighty-five thousand, six hundred sixty-four".