26910968448000 has 2816 divisors, whose sum is σ = 118196780083200. Its totient is φ = 5273498419200.

The previous prime is 26910968447953. The next prime is 26910968448019. The reversal of 26910968448000 is 84486901962.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52870271746 + ... + 52870272254.

Almost surely, 2^{26910968448000} is an apocalyptic number.

26910968448000 is a gapful number since it is divisible by the number (20) 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 26910968448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59098390041600).

26910968448000 is an abundant number, since it is smaller than the sum of its proper divisors (91285811635200).

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

26910968448000 is a wasteful number, since it uses less digits than its factorization.

26910968448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 26910968448000 in words is "twenty-six trillion, nine hundred ten billion, nine hundred sixty-eight million, four hundred forty-eight thousand".