8011323221760 has 1296 divisors, whose sum is σ = 30109747187520. Its totient is φ = 2040263147520.

The previous prime is 8011323221747. The next prime is 8011323221767. The reversal of 8011323221760 is 671223231108.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×8011323221760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011323221767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18249027621 + ... + 18249028059.

It is an arithmetic number, because the mean of its divisors is an integer number (23232829620).

Almost surely, 2^{8011323221760} is an apocalyptic number.

8011323221760 is a gapful number since it is divisible by the number (80) 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 8011323221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054873593760).

8011323221760 is an abundant number, since it is smaller than the sum of its proper divisors (22098423965760).

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

8011323221760 is an frugal number, since it uses more digits than its factorization.

8011323221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 8011323221760 its reverse (671223231108), we get a palindrome (8682546452868).

The spelling of 8011323221760 in words is "eight trillion, eleven billion, three hundred twenty-three million, two hundred twenty-one thousand, seven hundred sixty".