8011992268800 has 1824 divisors, whose sum is σ = 32838653330560. Its totient is φ = 1926317998080.

The previous prime is 8011992268789. The next prime is 8011992268801. The reversal of 8011992268800 is 88622991108.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011992268801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 186325401579 + ... + 186325401621.

Almost surely, 2^{8011992268800} is an apocalyptic number.

8011992268800 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 8011992268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16419326665280).

8011992268800 is an abundant number, since it is smaller than the sum of its proper divisors (24826661061760).

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

8011992268800 is an frugal number, since it uses more digits than its factorization.

8011992268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 8011992268800 in words is "eight trillion, eleven billion, nine hundred ninety-two million, two hundred sixty-eight thousand, eight hundred".