8209215000 has 960 divisors, whose sum is σ = 35577986400. Its totient is φ = 1741824000.

The previous prime is 8209214971. The next prime is 8209215023. The reversal of 8209215000 is 5129028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 112454964 + ... + 112455036.

Almost surely, 2^8209215000 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 8209215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17788993200).

8209215000 is an abundant number, since it is smaller than the sum of its proper divisors (27368771400).

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

8209215000 is a wasteful number, since it uses less digits than its factorization.

8209215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8209215000 is about 90604.7184201794. The cubic root of 8209215000 is about 2017.2847713353.

The spelling of 8209215000 in words is "eight billion, two hundred nine million, two hundred fifteen thousand".