82323358010520 has 512 divisors, whose sum is σ = 284486639616000. Its totient is φ = 18862245416960.

The previous prime is 82323358010437. The next prime is 82323358010549. The reversal of 82323358010520 is 2501085332328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4342168801 + ... + 4342187759.

It is an arithmetic number, because the mean of its divisors is an integer number (555637968000).

Almost surely, 2^{82323358010520} 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 82323358010520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142243319808000).

82323358010520 is an abundant number, since it is smaller than the sum of its proper divisors (202163281605480).

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

82323358010520 is a wasteful number, since it uses less digits than its factorization.

82323358010520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20703 (or 20699 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 82323358010520 in words is "eighty-two trillion, three hundred twenty-three billion, three hundred fifty-eight million, ten thousand, five hundred twenty".