82357831000 has 64 divisors (see below), whose sum is σ = 193254984000. Its totient is φ = 32851225600.

The previous prime is 82357830983. The next prime is 82357831001. The reversal of 82357831000 is 13875328.

It is a super-2 number, since 2×82357831000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82357831001) 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 15 ways as a sum of consecutive naturals, for example, 244296 + ... + 473704.

It is an arithmetic number, because the mean of its divisors is an integer number (3019609125).

Almost surely, 2^82357831000 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 82357831000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96627492000).

82357831000 is an abundant number, since it is smaller than the sum of its proper divisors (110897153000).

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

82357831000 is a wasteful number, since it uses less digits than its factorization.

82357831000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229789 (or 229775 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 82357831000 in words is "eighty-two billion, three hundred fifty-seven million, eight hundred thirty-one thousand".