6886791090800 has 120 divisors (see below), whose sum is σ = 17320407137280. Its totient is φ = 2626472569600.

The previous prime is 6886791090787. The next prime is 6886791090841. The reversal of 6886791090800 is 80901976886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1657721 + ... + 4064679.

It is an arithmetic number, because the mean of its divisors is an integer number (144336726144).

Almost surely, 2^{6886791090800} 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 6886791090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660203568640).

6886791090800 is an abundant number, since it is smaller than the sum of its proper divisors (10433616046480).

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

6886791090800 is a wasteful number, since it uses less digits than its factorization.

6886791090800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407311 (or 2407300 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 62.

The spelling of 6886791090800 in words is "six trillion, eight hundred eighty-six billion, seven hundred ninety-one million, ninety thousand, eight hundred".