26839868160 has 288 divisors, whose sum is σ = 103123560960. Its totient is φ = 5811830784.

The previous prime is 26839868093. The next prime is 26839868177. The reversal of 26839868160 is 6186893862.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26839868160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484444 + ... + 536996.

It is an arithmetic number, because the mean of its divisors is an integer number (358067920).

Almost surely, 2^26839868160 is an apocalyptic number.

26839868160 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 26839868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51561780480).

26839868160 is an abundant number, since it is smaller than the sum of its proper divisors (76283692800).

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

26839868160 is a wasteful number, since it uses less digits than its factorization.

26839868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52603 (or 52589 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 26839868160 in words is "twenty-six billion, eight hundred thirty-nine million, eight hundred sixty-eight thousand, one hundred sixty".