82448516200 has 48 divisors (see below), whose sum is σ = 191755366380. Its totient is φ = 32968642560.

The previous prime is 82448516167. The next prime is 82448516237. The reversal of 82448516200 is 261584428.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 74405655076 + 8042861124 = 272774^2 + 89682^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 561694 + ... + 693106.

Almost surely, 2^82448516200 is an apocalyptic number.

It is an amenable number.

82448516200 is an abundant number, since it is smaller than the sum of its proper divisors (109306850180).

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

82448516200 is a wasteful number, since it uses less digits than its factorization.

82448516200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134566 (or 134557 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 82448516200 in words is "eighty-two billion, four hundred forty-eight million, five hundred sixteen thousand, two hundred".