82581365800 has 48 divisors (see below), whose sum is σ = 203295900060. Its totient is φ = 31089454080.

The previous prime is 82581365747. The next prime is 82581365809. The reversal of 82581365800 is 856318528.

It can be written as a sum of positive squares in 6 ways, for example, as 14690894436 + 67890471364 = 121206^2 + 260558^2 .

It is not an unprimeable number, because it can be changed into a prime (82581365809) 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 11 ways as a sum of consecutive naturals, for example, 12140919 + ... + 12147718.

Almost surely, 2^82581365800 is an apocalyptic number.

It is an amenable number.

82581365800 is an abundant number, since it is smaller than the sum of its proper divisors (120714534260).

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

82581365800 is a wasteful number, since it uses less digits than its factorization.

82581365800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24288670 (or 24288661 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 82581365800 in words is "eighty-two billion, five hundred eighty-one million, three hundred sixty-five thousand, eight hundred".