82516718592 has 792 divisors, whose sum is σ = 309486355776. Its totient is φ = 20741529600.

The previous prime is 82516718579. The next prime is 82516718621. The reversal of 82516718592 is 29581761528.

82516718592 is a `hidden beast` number, since 8 + 2 + 516 + 71 + 8 + 59 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

Its product of digits (2419200) is a multiple of the sum of its prime divisors (54).

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 71 ways as a sum of consecutive naturals, for example, 2661829617 + ... + 2661829647.

Almost surely, 2^82516718592 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 82516718592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154743177888).

82516718592 is an abundant number, since it is smaller than the sum of its proper divisors (226969637184).

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

82516718592 is a wasteful number, since it uses less digits than its factorization.

82516718592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 54 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

It can be divided in two parts, 82516 and 718592, that added together give a palindrome (801108).

The spelling of 82516718592 in words is "eighty-two billion, five hundred sixteen million, seven hundred eighteen thousand, five hundred ninety-two".