82516747824 has 240 divisors, whose sum is σ = 275755064832. Its totient is φ = 22521894912.

The previous prime is 82516747811. The next prime is 82516747853. The reversal of 82516747824 is 42874761528.

82516747824 is a `hidden beast` number, since 8 + 2 + 5 + 167 + 478 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22648947 + ... + 22652589.

Almost surely, 2^82516747824 is an apocalyptic number.

82516747824 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 82516747824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137877532416).

82516747824 is an abundant number, since it is smaller than the sum of its proper divisors (193238317008).

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

82516747824 is a wasteful number, since it uses less digits than its factorization.

82516747824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4655 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 82516747824 in words is "eighty-two billion, five hundred sixteen million, seven hundred forty-seven thousand, eight hundred twenty-four".