8205218560 has 288 divisors, whose sum is σ = 25018560000. Its totient is φ = 2555965440.

The previous prime is 8205218537. The next prime is 8205218579. The reversal of 8205218560 is 658125028.

It is a super-2 number, since 2×8205218560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4828591 + ... + 4830289.

It is an arithmetic number, because the mean of its divisors is an integer number (86870000).

Almost surely, 2^8205218560 is an apocalyptic number.

8205218560 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 8205218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509280000).

8205218560 is an abundant number, since it is smaller than the sum of its proper divisors (16813341440).

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

8205218560 is a wasteful number, since it uses less digits than its factorization.

8205218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 8205218560 is about 90582.6614755826. The cubic root of 8205218560 is about 2016.9573642220.

The spelling of 8205218560 in words is "eight billion, two hundred five million, two hundred eighteen thousand, five hundred sixty".