26244448000 has 144 divisors (see below), whose sum is σ = 66902131296. Its totient is φ = 10253107200.

The previous prime is 26244447991. The next prime is 26244448001. The reversal of 26244448000 is 84444262.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26244448001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366464 + ... + 1385536.

It is an arithmetic number, because the mean of its divisors is an integer number (464598134).

Almost surely, 2^26244448000 is an apocalyptic number.

26244448000 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 26244448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33451065648).

26244448000 is an abundant number, since it is smaller than the sum of its proper divisors (40657683296).

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

26244448000 is an equidigital number, since it uses as much as digits as its factorization.

26244448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19147 (or 19123 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The spelling of 26244448000 in words is "twenty-six billion, two hundred forty-four million, four hundred forty-eight thousand".