82662561052568 has 32 divisors (see below), whose sum is σ = 180476211468960. Its totient is φ = 34758381465600.

The previous prime is 82662561052433. The next prime is 82662561052609. The reversal of 82662561052568 is 86525016526628.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82662561052568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13925630633 + ... + 13925636568.

It is an arithmetic number, because the mean of its divisors is an integer number (5639881608405).

Almost surely, 2^{82662561052568} is an apocalyptic number.

It is an amenable number.

82662561052568 is an abundant number, since it is smaller than the sum of its proper divisors (97813650416392).

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

82662561052568 is a wasteful number, since it uses less digits than its factorization.

82662561052568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27851267267 (or 27851267263 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 62.

The spelling of 82662561052568 in words is "eighty-two trillion, six hundred sixty-two billion, five hundred sixty-one million, fifty-two thousand, five hundred sixty-eight".