82520653824 has 720 divisors, whose sum is σ = 294053679360. Its totient is φ = 23075684352.

The previous prime is 82520653801. The next prime is 82520653861. The reversal of 82520653824 is 42835602528.

It is a self number, because there is not a number n which added to its sum of digits gives 82520653824.

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 47 ways as a sum of consecutive naturals, for example, 1755758569 + ... + 1755758615.

It is an arithmetic number, because the mean of its divisors is an integer number (408407888).

Almost surely, 2^82520653824 is an apocalyptic number.

82520653824 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 82520653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026839680).

82520653824 is an abundant number, since it is smaller than the sum of its proper divisors (211533025536).

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

82520653824 is an frugal number, since it uses more digits than its factorization.

82520653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 82520653824 in words is "eighty-two billion, five hundred twenty million, six hundred fifty-three thousand, eight hundred twenty-four".