82360952532 has 144 divisors (see below), whose sum is σ = 214139016000. Its totient is φ = 26681633280.

The previous prime is 82360952519. The next prime is 82360952587. The reversal of 82360952532 is 23525906328.

82360952532 is a `hidden beast` number, since 8 + 2 + 3 + 60 + 9 + 52 + 532 = 666.

It is a super-3 number, since 3×82360952532³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 101554407 + ... + 101555217.

It is an arithmetic number, because the mean of its divisors is an integer number (1487076500).

Almost surely, 2^82360952532 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 82360952532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107069508000).

82360952532 is an abundant number, since it is smaller than the sum of its proper divisors (131778063468).

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

82360952532 is a wasteful number, since it uses less digits than its factorization.

82360952532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 82360952532 in words is "eighty-two billion, three hundred sixty million, nine hundred fifty-two thousand, five hundred thirty-two".