82897224600 has 192 divisors, whose sum is σ = 261208772640. Its totient is φ = 21745152000.

The previous prime is 82897224583. The next prime is 82897224601. The reversal of 82897224600 is 642279828.

It is a self number, because there is not a number n which added to its sum of digits gives 82897224600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82897224601) 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 47 ways as a sum of consecutive naturals, for example, 9509844 + ... + 9518556.

Almost surely, 2^82897224600 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 82897224600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130604386320).

82897224600 is an abundant number, since it is smaller than the sum of its proper divisors (178311548040).

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

82897224600 is a wasteful number, since it uses less digits than its factorization.

82897224600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 82897224600 in words is "eighty-two billion, eight hundred ninety-seven million, two hundred twenty-four thousand, six hundred".