82527758305024 has 72 divisors (see below), whose sum is σ = 164875238307360. Its totient is φ = 41228293951488.

The previous prime is 82527758304923. The next prime is 82527758305043. The reversal of 82527758305024 is 42050385772528.

It is a happy number.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82527758305024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4839477682 + ... + 4839494734.

It is an arithmetic number, because the mean of its divisors is an integer number (2289933865380).

Almost surely, 2^{82527758305024} is an apocalyptic number.

It is an amenable number.

82527758305024 is a deficient number, since it is larger than the sum of its proper divisors (82347480002336).

82527758305024 is a wasteful number, since it uses less digits than its factorization.

82527758305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32265 (or 32251 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 58.

The spelling of 82527758305024 in words is "eighty-two trillion, five hundred twenty-seven billion, seven hundred fifty-eight million, three hundred five thousand, twenty-four".