26268816000 has 512 divisors, whose sum is σ = 102259422720. Its totient is φ = 5839257600.

The previous prime is 26268815983. The next prime is 26268816001. The reversal of 26268816000 is 61886262.

It is a self number, because there is not a number n which added to its sum of digits gives 26268816000.

It is not an unprimeable number, because it can be changed into a prime (26268816001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12430944 + ... + 12433056.

It is an arithmetic number, because the mean of its divisors is an integer number (199725435).

Almost surely, 2^26268816000 is an apocalyptic number.

26268816000 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 26268816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51129711360).

26268816000 is an abundant number, since it is smaller than the sum of its proper divisors (75990606720).

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

26268816000 is a wasteful number, since it uses less digits than its factorization.

26268816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 26268816000 in words is "twenty-six billion, two hundred sixty-eight million, eight hundred sixteen thousand".