26821010446480 has 80 divisors (see below), whose sum is σ = 62818627118400. Its totient is φ = 10649397277184.

The previous prime is 26821010446403. The next prime is 26821010446499. The reversal of 26821010446480 is 8464401012862.

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 26821010446480.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17415459 + ... + 18892861.

It is an arithmetic number, because the mean of its divisors is an integer number (785232838980).

Almost surely, 2^{26821010446480} is an apocalyptic number.

26821010446480 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 26821010446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31409313559200).

26821010446480 is an abundant number, since it is smaller than the sum of its proper divisors (35997616671920).

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

26821010446480 is a wasteful number, since it uses less digits than its factorization.

26821010446480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479088 (or 1479082 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 26821010446480 in words is "twenty-six trillion, eight hundred twenty-one billion, ten million, four hundred forty-six thousand, four hundred eighty".