26918983922688 has 792 divisors, whose sum is σ = 94827540618720. Its totient is φ = 7529516974080.

The previous prime is 26918983922647. The next prime is 26918983922773. The reversal of 26918983922688 is 88622938981962.

26918983922688 is a `hidden beast` number, since 2 + 6 + 91 + 89 + 8 + 392 + 2 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×26918983922688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 960726343 + ... + 960754361.

Almost surely, 2^{26918983922688} 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 26918983922688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47413770309360).

26918983922688 is an abundant number, since it is smaller than the sum of its proper divisors (67908556696032).

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

26918983922688 is an equidigital number, since it uses as much as digits as its factorization.

26918983922688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28087 (or 28048 counting only the distinct ones).

The product of its digits is 2579890176, while the sum is 81.

The spelling of 26918983922688 in words is "twenty-six trillion, nine hundred eighteen billion, nine hundred eighty-three million, nine hundred twenty-two thousand, six hundred eighty-eight".