26830668174816 has 576 divisors, whose sum is σ = 80677655976960. Its totient is φ = 7792303411200.

The previous prime is 26830668174773. The next prime is 26830668174829. The reversal of 26830668174816 is 61847186603862.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41088312346 + ... + 41088312998.

It is an arithmetic number, because the mean of its divisors is an integer number (140065374960).

Almost surely, 2^{26830668174816} 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 26830668174816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40338827988480).

26830668174816 is an abundant number, since it is smaller than the sum of its proper divisors (53846987802144).

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

26830668174816 is a wasteful number, since it uses less digits than its factorization.

26830668174816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 26830668174816 in words is "twenty-six trillion, eight hundred thirty billion, six hundred sixty-eight million, one hundred seventy-four thousand, eight hundred sixteen".