26806605880320 has 1056 divisors, whose sum is σ = 107822832998400. Its totient is φ = 6031485960192.

The previous prime is 26806605880291. The next prime is 26806605880367. The reversal of 26806605880320 is 2308850660862.

26806605880320 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 6 + 605 + 8 + 8 + 0 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6861171807 + ... + 6861175713.

Almost surely, 2^{26806605880320} is an apocalyptic number.

26806605880320 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 26806605880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53911416499200).

26806605880320 is an abundant number, since it is smaller than the sum of its proper divisors (81016227118080).

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

26806605880320 is a wasteful number, since it uses less digits than its factorization.

26806605880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 26806605880320 in words is "twenty-six trillion, eight hundred six billion, six hundred five million, eight hundred eighty thousand, three hundred twenty".