82239456800 has 54 divisors (see below), whose sum is σ = 200786877333. Its totient is φ = 32892538240.

The previous prime is 82239456791. The next prime is 82239456823. The reversal of 82239456800 is 865493228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 80594667664 + 1644789136 = 283892^2 + 40556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202780.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8106131 + ... + 8116269.

Almost surely, 2^82239456800 is an apocalyptic number.

82239456800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82239456800 is an abundant number, since it is smaller than the sum of its proper divisors (118547420533).

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

82239456800 is an frugal number, since it uses more digits than its factorization.

82239456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20298 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 82239456800 in words is "eighty-two billion, two hundred thirty-nine million, four hundred fifty-six thousand, eight hundred".