80564233200 has 480 divisors, whose sum is σ = 298614220800. Its totient is φ = 18361728000.

The previous prime is 80564233171. The next prime is 80564233201. The reversal of 80564233200 is 233246508.

It is a happy number.

It is a super-2 number, since 2×80564233200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80564233201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 34860045 + ... + 34862355.

It is an arithmetic number, because the mean of its divisors is an integer number (622112960).

Almost surely, 2^80564233200 is an apocalyptic number.

80564233200 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 80564233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149307110400).

80564233200 is an abundant number, since it is smaller than the sum of its proper divisors (218049987600).

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

80564233200 is a wasteful number, since it uses less digits than its factorization.

80564233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 80564233200 its reverse (233246508), we get a palindrome (80797479708).

The spelling of 80564233200 in words is "eighty billion, five hundred sixty-four million, two hundred thirty-three thousand, two hundred".