26840896000 has 320 divisors, whose sum is σ = 70217443296. Its totient is φ = 10223616000.

The previous prime is 26840895967. The next prime is 26840896009. The reversal of 26840896000 is 69804862.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 6531225856 + 20309670144 = 80816^2 + 142512^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (26840896009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139071904 + ... + 139072096.

Almost surely, 2^26840896000 is an apocalyptic number.

26840896000 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 26840896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35108721648).

26840896000 is an abundant number, since it is smaller than the sum of its proper divisors (43376547296).

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

26840896000 is an equidigital number, since it uses as much as digits as its factorization.

26840896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 26840896000 in words is "twenty-six billion, eight hundred forty million, eight hundred ninety-six thousand".