26819320872960 has 3840 divisors, whose sum is σ = 130821894720000. Its totient is φ = 5136847994880.

The previous prime is 26819320872919. The next prime is 26819320872977. The reversal of 26819320872960 is 6927802391862.

26819320872960 is a `hidden beast` number, since 2 + 6 + 8 + 19 + 320 + 8 + 7 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 724846510062 + ... + 724846510098.

It is an arithmetic number, because the mean of its divisors is an integer number (34068201750).

Almost surely, 2^{26819320872960} is an apocalyptic number.

26819320872960 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 26819320872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65410947360000).

26819320872960 is an abundant number, since it is smaller than the sum of its proper divisors (104002573847040).

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

26819320872960 is an equidigital number, since it uses as much as digits as its factorization.

26819320872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 26819320872960 in words is "twenty-six trillion, eight hundred nineteen billion, three hundred twenty million, eight hundred seventy-two thousand, nine hundred sixty".