83325895968 has 288 divisors, whose sum is σ = 271936465920. Its totient is φ = 21823603200.

The previous prime is 83325895967. The next prime is 83325896009. The reversal of 83325895968 is 86959852338.

It is a junction number, because it is equal to n+sod(n) for n = 83325895899 and 83325895908.

It is not an unprimeable number, because it can be changed into a prime (83325895967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12266653 + ... + 12273443.

It is an arithmetic number, because the mean of its divisors is an integer number (944223840).

Almost surely, 2^83325895968 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 83325895968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135968232960).

83325895968 is an abundant number, since it is smaller than the sum of its proper divisors (188610569952).

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

83325895968 is a wasteful number, since it uses less digits than its factorization.

83325895968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6853 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 66.

The spelling of 83325895968 in words is "eighty-three billion, three hundred twenty-five million, eight hundred ninety-five thousand, nine hundred sixty-eight".