8209019520 has 480 divisors, whose sum is σ = 31778305020. Its totient is φ = 2018525184.

The previous prime is 8209019491. The next prime is 8209019527. The reversal of 8209019520 is 259109028.

It can be written as a sum of positive squares in 6 ways, for example, as 18045504 + 8190974016 = 4248^2 + 90504^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8209019527) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760492 + ... + 8761428.

Almost surely, 2^8209019520 is an apocalyptic number.

8209019520 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 8209019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889152510).

8209019520 is an abundant number, since it is smaller than the sum of its proper divisors (23569285500).

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

8209019520 is a wasteful number, since it uses less digits than its factorization.

8209019520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8209019520 is about 90603.6396619915. The cubic root of 8209019520 is about 2017.2687591686.

The spelling of 8209019520 in words is "eight billion, two hundred nine million, nineteen thousand, five hundred twenty".