26809104000 has 512 divisors, whose sum is σ = 103053749760. Its totient is φ = 6038323200.

The previous prime is 26809103977. The next prime is 26809104001. The reversal of 26809104000 is 40190862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26809104001) 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, 24527454 + ... + 24528546.

It is an arithmetic number, because the mean of its divisors is an integer number (201276855).

Almost surely, 2^26809104000 is an apocalyptic number.

26809104000 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 26809104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51526874880).

26809104000 is an abundant number, since it is smaller than the sum of its proper divisors (76244645760).

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

26809104000 is a wasteful number, since it uses less digits than its factorization.

26809104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 26809104000 its reverse (40190862), we get a palindrome (26849294862).

The spelling of 26809104000 in words is "twenty-six billion, eight hundred nine million, one hundred four thousand".