8011705884672 has 1344 divisors, whose sum is σ = 27486951782400. Its totient is φ = 2069627535360.

The previous prime is 8011705884647. The next prime is 8011705884719. The reversal of 8011705884672 is 2764885071108.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186318741483 + ... + 186318741525.

Almost surely, 2^{8011705884672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8011705884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13743475891200).

8011705884672 is an abundant number, since it is smaller than the sum of its proper divisors (19475245897728).

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

8011705884672 is an equidigital number, since it uses as much as digits as its factorization.

8011705884672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 57.

The spelling of 8011705884672 in words is "eight trillion, eleven billion, seven hundred five million, eight hundred eighty-four thousand, six hundred seventy-two".