26327253120 has 320 divisors, whose sum is σ = 97915789440. Its totient is φ = 6016604160.

The previous prime is 26327253109. The next prime is 26327253179. The reversal of 26327253120 is 2135272362.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4607065 + ... + 4612775.

It is an arithmetic number, because the mean of its divisors is an integer number (305986842).

Almost surely, 2^26327253120 is an apocalyptic number.

26327253120 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 26327253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48957894720).

26327253120 is an abundant number, since it is smaller than the sum of its proper divisors (71588536320).

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

26327253120 is an frugal number, since it uses more digits than its factorization.

26327253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 26327253120 in words is "twenty-six billion, three hundred twenty-seven million, two hundred fifty-three thousand, one hundred twenty".