82524000060 has 288 divisors, whose sum is σ = 265075784064. Its totient is φ = 20756736000.

The previous prime is 82524000043. The next prime is 82524000071. The reversal of 82524000060 is 6000042528.

82524000060 is a `hidden beast` number, since 8 + 252 + 400 + 0 + 0 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82523999988 and 82524000033.

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 95 ways as a sum of consecutive naturals, for example, 28843030 + ... + 28845890.

It is an arithmetic number, because the mean of its divisors is an integer number (920402028).

Almost surely, 2^82524000060 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 82524000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132537892032).

82524000060 is an abundant number, since it is smaller than the sum of its proper divisors (182551784004).

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

82524000060 is a wasteful number, since it uses less digits than its factorization.

82524000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 82524000060 its reverse (6000042528), we get a palindrome (88524042588).

The spelling of 82524000060 in words is "eighty-two billion, five hundred twenty-four million, sixty", and thus it is an aban number.