8100874967000 has 128 divisors (see below), whose sum is σ = 19179004703040. Its totient is φ = 3202403276800.

The previous prime is 8100874966969. The next prime is 8100874967033. The reversal of 8100874967000 is 7694780018.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 8100874967000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39107702 + ... + 39314298.

Almost surely, 2^{8100874967000} 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 8100874967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589502351520).

8100874967000 is an abundant number, since it is smaller than the sum of its proper divisors (11078129736040).

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

8100874967000 is a wasteful number, since it uses less digits than its factorization.

8100874967000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207078 (or 207064 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The spelling of 8100874967000 in words is "eight trillion, one hundred billion, eight hundred seventy-four million, nine hundred sixty-seven thousand".