26918540103744 has 168 divisors, whose sum is σ = 79644721312728. Its totient is φ = 8686019543040.

The previous prime is 26918540103701. The next prime is 26918540103773. The reversal of 26918540103744 is 44730104581962.

26918540103744 is a `hidden beast` number, since 2 + 6 + 9 + 18 + 540 + 10 + 3 + 74 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22041898214400 + 4876641889344 = 4694880^2 + 2208312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992704 + ... + 7404224.

It is a 1-persistent number, because it is pandigital, but 2⋅26918540103744 = 53837080207488 is not.

Almost surely, 2^{26918540103744} is an apocalyptic number.

26918540103744 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 26918540103744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39822360656364).

26918540103744 is an abundant number, since it is smaller than the sum of its proper divisors (52726181208984).

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

26918540103744 is a wasteful number, since it uses less digits than its factorization.

26918540103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411773 (or 6411760 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 26918540103744 in words is "twenty-six trillion, nine hundred eighteen billion, five hundred forty million, one hundred three thousand, seven hundred forty-four".