26850116240 has 80 divisors (see below), whose sum is σ = 63536015280. Its totient is φ = 10549647360.

The previous prime is 26850116173. The next prime is 26850116261. The reversal of 26850116240 is 4261105862.

It can be written as a sum of positive squares in 8 ways, for example, as 10273038736 + 16577077504 = 101356^2 + 128752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 26850116240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4042202 + ... + 4048838.

It is an arithmetic number, because the mean of its divisors is an integer number (794200191).

Almost surely, 2^26850116240 is an apocalyptic number.

26850116240 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 26850116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31768007640).

26850116240 is an abundant number, since it is smaller than the sum of its proper divisors (36685899040).

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

26850116240 is a wasteful number, since it uses less digits than its factorization.

26850116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 26850116240 in words is "twenty-six billion, eight hundred fifty million, one hundred sixteen thousand, two hundred forty".