82718011008 has 96 divisors (see below), whose sum is σ = 240386760900. Its totient is φ = 27299635200.

The previous prime is 82718010971. The next prime is 82718011021. The reversal of 82718011008 is 80011081728.

It can be written as a sum of positive squares in 2 ways, for example, as 56419550784 + 26298460224 = 237528^2 + 162168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

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 11 ways as a sum of consecutive naturals, for example, 239113 + ... + 471816.

Almost surely, 2^82718011008 is an apocalyptic number.

It is an amenable number.

82718011008 is an abundant number, since it is smaller than the sum of its proper divisors (157668749892).

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

82718011008 is a wasteful number, since it uses less digits than its factorization.

82718011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711050 (or 711035 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 82718011008 in words is "eighty-two billion, seven hundred eighteen million, eleven thousand, eight".