26568408000 has 448 divisors, whose sum is σ = 92434867200. Its totient is φ = 6714265600.

The previous prime is 26568407977. The next prime is 26568408007. The reversal of 26568408000 is 80486562.

It is a self number, because there is not a number n which added to its sum of digits gives 26568408000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26568408007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41063677 + ... + 41064323.

Almost surely, 2^26568408000 is an apocalyptic number.

26568408000 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 26568408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46217433600).

26568408000 is an abundant number, since it is smaller than the sum of its proper divisors (65866459200).

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

26568408000 is a wasteful number, since it uses less digits than its factorization.

26568408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 26568408000 in words is "twenty-six billion, five hundred sixty-eight million, four hundred eight thousand".