809130709296 has 400 divisors, whose sum is σ = 2885384670784. Its totient is φ = 213167904768.

The previous prime is 809130709273. The next prime is 809130709337. The reversal of 809130709296 is 692907031908.

809130709296 is a `hidden beast` number, since 80 + 91 + 307 + 0 + 92 + 96 = 666.

809130709296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128900910 + ... + 128907186.

Almost surely, 2^809130709296 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 809130709296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442692335392).

809130709296 is an abundant number, since it is smaller than the sum of its proper divisors (2076253961488).

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

809130709296 is a wasteful number, since it uses less digits than its factorization.

809130709296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 809130709296 in words is "eight hundred nine billion, one hundred thirty million, seven hundred nine thousand, two hundred ninety-six".