82004298435 has 24 divisors (see below), whose sum is σ = 142147628064. Its totient is φ = 43733520000.

The previous prime is 82004298253. The next prime is 82004298479. The reversal of 82004298435 is 53489240028.

82004298435 is a `hidden beast` number, since 8 + 200 + 4 + 2 + 9 + 8 + 435 = 666.

It is not a de Polignac number, because 82004298435 - 2²⁶ = 81937189571 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491799 + ... + 1545791.

It is an arithmetic number, because the mean of its divisors is an integer number (5922817836).

Almost surely, 2^82004298435 is an apocalyptic number.

82004298435 is a deficient number, since it is larger than the sum of its proper divisors (60143329629).

82004298435 is a wasteful number, since it uses less digits than its factorization.

82004298435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87755 (or 87752 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82004298435 in words is "eighty-two billion, four million, two hundred ninety-eight thousand, four hundred thirty-five".