82612320000 has 720 divisors, whose sum is σ = 327957020160. Its totient is φ = 18044928000.

The previous prime is 82612319989. The next prime is 82612320053. The reversal of 82612320000 is 2321628.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 77279466 + ... + 77280534.

Almost surely, 2^82612320000 is an apocalyptic number.

82612320000 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 82612320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163978510080).

82612320000 is an abundant number, since it is smaller than the sum of its proper divisors (245344700160).

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

82612320000 is a wasteful number, since it uses less digits than its factorization.

82612320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 82612320000 its reverse (2321628), we get a palindrome (82614641628).

The spelling of 82612320000 in words is "eighty-two billion, six hundred twelve million, three hundred twenty thousand".