26806585608 has 256 divisors, whose sum is σ = 84171571200. Its totient is φ = 7831296000.

The previous prime is 26806585387. The next prime is 26806585657. The reversal of 26806585608 is 80658560862.

26806585608 is a `hidden beast` number, since 26 + 8 + 0 + 6 + 5 + 8 + 5 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26000053 + ... + 26001083.

It is an arithmetic number, because the mean of its divisors is an integer number (328795200).

Almost surely, 2^26806585608 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 26806585608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42085785600).

26806585608 is an abundant number, since it is smaller than the sum of its proper divisors (57364985592).

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

26806585608 is a wasteful number, since it uses less digits than its factorization.

26806585608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 26806585608 in words is "twenty-six billion, eight hundred six million, five hundred eighty-five thousand, six hundred eight".