26873233103616 has 288 divisors, whose sum is σ = 76376659968000. Its totient is φ = 8363473735680.

The previous prime is 26873233103611. The next prime is 26873233103617. The reversal of 26873233103616 is 61630133237862.

It is not an unprimeable number, because it can be changed into a prime (26873233103611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5270292235 + ... + 5270297333.

It is an arithmetic number, because the mean of its divisors is an integer number (265196736000).

Almost surely, 2^{26873233103616} 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 26873233103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38188329984000).

26873233103616 is an abundant number, since it is smaller than the sum of its proper divisors (49503426864384).

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

26873233103616 is a wasteful number, since it uses less digits than its factorization.

26873233103616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10295 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 26873233103616 in words is "twenty-six trillion, eight hundred seventy-three billion, two hundred thirty-three million, one hundred three thousand, six hundred sixteen".