809713116960 has 384 divisors, whose sum is σ = 2951320458240. Its totient is φ = 184540262400.

The previous prime is 809713116917. The next prime is 809713116991. The reversal of 809713116960 is 69611317908.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13111114 + ... + 13172726.

It is an arithmetic number, because the mean of its divisors is an integer number (7685730360).

Almost surely, 2^809713116960 is an apocalyptic number.

809713116960 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 809713116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475660229120).

809713116960 is an abundant number, since it is smaller than the sum of its proper divisors (2141607341280).

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

809713116960 is a wasteful number, since it uses less digits than its factorization.

809713116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61792 (or 61784 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 809713116960 in words is "eight hundred nine billion, seven hundred thirteen million, one hundred sixteen thousand, nine hundred sixty".