809222565120 has 216 divisors, whose sum is σ = 2745427821024. Its totient is φ = 203098718208.

The previous prime is 809222565089. The next prime is 809222565121. The reversal of 809222565120 is 21565222908.

It is a super-2 number, since 2×809222565120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809222565121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745167 + ... + 1474353.

Almost surely, 2^809222565120 is an apocalyptic number.

809222565120 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 809222565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372713910512).

809222565120 is an abundant number, since it is smaller than the sum of its proper divisors (1936205255904).

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

809222565120 is a wasteful number, since it uses less digits than its factorization.

809222565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729245 (or 729214 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 809222565120 in words is "eight hundred nine billion, two hundred twenty-two million, five hundred sixty-five thousand, one hundred twenty".