82516218624 has 432 divisors, whose sum is σ = 282790703104. Its totient is φ = 22643712000.

The previous prime is 82516218623. The next prime is 82516218641. The reversal of 82516218624 is 42681261528.

82516218624 is a `hidden beast` number, since 8 + 2 + 5 + 1 + 6 + 2 + 18 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82516218624.

It is not an unprimeable number, because it can be changed into a prime (82516218623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75494622 + ... + 75495714.

Almost surely, 2^82516218624 is an apocalyptic number.

82516218624 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82516218624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141395351552).

82516218624 is an abundant number, since it is smaller than the sum of its proper divisors (200274484480).

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

82516218624 is a wasteful number, since it uses less digits than its factorization.

82516218624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1287 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 82516218624 in words is "eighty-two billion, five hundred sixteen million, two hundred eighteen thousand, six hundred twenty-four".