809061120000 has 1440 divisors, whose sum is σ = 3405949747200. Its totient is φ = 181149696000.

The previous prime is 809061119917. The next prime is 809061120037. The reversal of 809061120000 is 21160908.

809061120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6370559937 + ... + 6370560063.

It is an arithmetic number, because the mean of its divisors is an integer number (2365242880).

Almost surely, 2^809061120000 is an apocalyptic number.

809061120000 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 809061120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702974873600).

809061120000 is an abundant number, since it is smaller than the sum of its proper divisors (2596888627200).

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

809061120000 is a wasteful number, since it uses less digits than its factorization.

809061120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 809061120000 its reverse (21160908), we get a palindrome (809082280908).

The spelling of 809061120000 in words is "eight hundred nine billion, sixty-one million, one hundred twenty thousand".