26844356689920 has 4320 divisors, whose sum is σ = 128773995436800. Its totient is φ = 5275574599680.

The previous prime is 26844356689841. The next prime is 26844356689921. The reversal of 26844356689920 is 2998665344862.

26844356689920 is a `hidden beast` number, since 2 + 6 + 84 + 435 + 6 + 6 + 8 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26844356689921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 301621985236 + ... + 301621985324.

It is an arithmetic number, because the mean of its divisors is an integer number (29808795240).

Almost surely, 2^{26844356689920} is an apocalyptic number.

26844356689920 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 26844356689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64386997718400).

26844356689920 is an abundant number, since it is smaller than the sum of its proper divisors (101929638746880).

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

26844356689920 is a wasteful number, since it uses less digits than its factorization.

26844356689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 26844356689920 in words is "twenty-six trillion, eight hundred forty-four billion, three hundred fifty-six million, six hundred eighty-nine thousand, nine hundred twenty".