82561604608 has 176 divisors, whose sum is σ = 197928982528. Its totient is φ = 33675264000.

The previous prime is 82561604599. The next prime is 82561604617. The reversal of 82561604608 is 80640616528.

It is an interprime number because it is at equal distance from previous prime (82561604599) and next prime (82561604617).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13551643 + ... + 13557733.

Almost surely, 2^82561604608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82561604608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98964491264).

82561604608 is an abundant number, since it is smaller than the sum of its proper divisors (115367377920).

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

82561604608 is a wasteful number, since it uses less digits than its factorization.

82561604608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6210 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 82561604608 in words is "eighty-two billion, five hundred sixty-one million, six hundred four thousand, six hundred eight".