82815512320 has 144 divisors (see below), whose sum is σ = 200836490400. Its totient is φ = 32716357632.

The previous prime is 82815512237. The next prime is 82815512323. The reversal of 82815512320 is 2321551828.

It is a self number, because there is not a number n which added to its sum of digits gives 82815512320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82815512323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48742831 + ... + 48744529.

It is an arithmetic number, because the mean of its divisors is an integer number (1394697850).

Almost surely, 2^82815512320 is an apocalyptic number.

82815512320 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 82815512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100418245200).

82815512320 is an abundant number, since it is smaller than the sum of its proper divisors (118020978080).

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

82815512320 is a wasteful number, since it uses less digits than its factorization.

82815512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 82815512320 in words is "eighty-two billion, eight hundred fifteen million, five hundred twelve thousand, three hundred twenty".