82333017000 has 768 divisors, whose sum is σ = 316241452800. Its totient is φ = 19912780800.

The previous prime is 82333016959. The next prime is 82333017001. The reversal of 82333017000 is 71033328.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82333017001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211652806 + ... + 211653194.

It is an arithmetic number, because the mean of its divisors is an integer number (411772725).

Almost surely, 2^82333017000 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 82333017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158120726400).

82333017000 is an abundant number, since it is smaller than the sum of its proper divisors (233908435800).

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

82333017000 is a wasteful number, since it uses less digits than its factorization.

82333017000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 82333017000 in words is "eighty-two billion, three hundred thirty-three million, seventeen thousand".