26844948480 has 384 divisors, whose sum is σ = 101343191040. Its totient is φ = 5936578560.

The previous prime is 26844948457. The next prime is 26844948497. The reversal of 26844948480 is 8484944862.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 26844948480.

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, 6664227 + ... + 6668253.

It is an arithmetic number, because the mean of its divisors is an integer number (263914560).

Almost surely, 2^26844948480 is an apocalyptic number.

26844948480 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 26844948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50671595520).

26844948480 is an abundant number, since it is smaller than the sum of its proper divisors (74498242560).

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

26844948480 is a wasteful number, since it uses less digits than its factorization.

26844948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 57.

The spelling of 26844948480 in words is "twenty-six billion, eight hundred forty-four million, nine hundred forty-eight thousand, four hundred eighty".