82505435364 has 72 divisors (see below), whose sum is σ = 227628797760. Its totient is φ = 24989140800.

The previous prime is 82505435359. The next prime is 82505435387. The reversal of 82505435364 is 46353450528.

82505435364 is a `hidden beast` number, since 8 + 2 + 50 + 543 + 53 + 6 + 4 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 756354 + ... + 858534.

It is an arithmetic number, because the mean of its divisors is an integer number (3161511080).

Almost surely, 2^82505435364 is an apocalyptic number.

It is an amenable number.

82505435364 is an abundant number, since it is smaller than the sum of its proper divisors (145123362396).

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

82505435364 is a wasteful number, since it uses less digits than its factorization.

82505435364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104241 (or 104236 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 82505435364 in words is "eighty-two billion, five hundred five million, four hundred thirty-five thousand, three hundred sixty-four".