8091264871872 has 3136 divisors, whose sum is σ = 33581157120000. Its totient is φ = 1912021106688.

The previous prime is 8091264871841. The next prime is 8091264871883. The reversal of 8091264871872 is 2781784621908.

8091264871872 is a `hidden beast` number, since 80 + 9 + 1 + 2 + 6 + 487 + 1 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (3136).

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 polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 90913088404 + ... + 90913088492.

Almost surely, 2^{8091264871872} 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 8091264871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790578560000).

8091264871872 is an abundant number, since it is smaller than the sum of its proper divisors (25489892248128).

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

8091264871872 is a wasteful number, since it uses less digits than its factorization.

8091264871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 8091264871872 in words is "eight trillion, ninety-one billion, two hundred sixty-four million, eight hundred seventy-one thousand, eight hundred seventy-two".