82998568224 has 576 divisors, whose sum is σ = 296086976640. Its totient is φ = 21678243840.

The previous prime is 82998568207. The next prime is 82998568231. The reversal of 82998568224 is 42286589928.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57121482 + ... + 57122934.

It is an arithmetic number, because the mean of its divisors is an integer number (514039890).

Almost surely, 2^82998568224 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 82998568224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148043488320).

82998568224 is an abundant number, since it is smaller than the sum of its proper divisors (213088408416).

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

82998568224 is a wasteful number, since it uses less digits than its factorization.

82998568224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1574 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 82998568224 in words is "eighty-two billion, nine hundred ninety-eight million, five hundred sixty-eight thousand, two hundred twenty-four".