82010882016 has 72 divisors (see below), whose sum is σ = 266535373104. Its totient is φ = 23431680000.

The previous prime is 82010881961. The next prime is 82010882033. The reversal of 82010882016 is 61028801028.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 20337985 + ... + 20342016.

It is an arithmetic number, because the mean of its divisors is an integer number (3701880182).

Almost surely, 2^82010882016 is an apocalyptic number.

It is an amenable number.

82010882016 is an abundant number, since it is smaller than the sum of its proper divisors (184524491088).

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

82010882016 is a wasteful number, since it uses less digits than its factorization.

82010882016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40680024 (or 40680013 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 82010882016 in words is "eighty-two billion, ten million, eight hundred eighty-two thousand, sixteen".