83265200800 has 36 divisors (see below), whose sum is σ = 203271173406. Its totient is φ = 33306080000.

The previous prime is 83265200773. The next prime is 83265200803. The reversal of 83265200800 is 800256238.

It can be written as a sum of positive squares in 3 ways, for example, as 49395951504 + 33869249296 = 222252^2 + 184036^2 .

It is not an unprimeable number, because it can be changed into a prime (83265200803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 52039951 + ... + 52041550.

Almost surely, 2^83265200800 is an apocalyptic number.

83265200800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83265200800 is an abundant number, since it is smaller than the sum of its proper divisors (120005972606).

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

83265200800 is a wasteful number, since it uses less digits than its factorization.

83265200800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104081521 (or 104081508 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 83265200800 in words is "eighty-three billion, two hundred sixty-five million, two hundred thousand, eight hundred".