82107323520 has 512 divisors, whose sum is σ = 298577664000. Its totient is φ = 19062521856.

The previous prime is 82107323437. The next prime is 82107323521. The reversal of 82107323520 is 2532370128.

It is a super-2 number, since 2×82107323520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82107323521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26665341 + ... + 26668419.

It is an arithmetic number, because the mean of its divisors is an integer number (583159500).

Almost surely, 2^82107323520 is an apocalyptic number.

82107323520 is a gapful number since it is divisible by the number (80) 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 82107323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832000).

82107323520 is an abundant number, since it is smaller than the sum of its proper divisors (216470340480).

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

82107323520 is a wasteful number, since it uses less digits than its factorization.

82107323520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 82107323520 its reverse (2532370128), we get a palindrome (84639693648).

The spelling of 82107323520 in words is "eighty-two billion, one hundred seven million, three hundred twenty-three thousand, five hundred twenty".