82325782512 has 160 divisors (see below), whose sum is σ = 240608568320. Its totient is φ = 26943840000.

The previous prime is 82325782501. The next prime is 82325782529. The reversal of 82325782512 is 21528752328.

82325782512 is a `hidden beast` number, since 8 + 2 + 3 + 2 + 57 + 82 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16625637 + ... + 16630587.

It is an arithmetic number, because the mean of its divisors is an integer number (1503803552).

Almost surely, 2^82325782512 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 82325782512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120304284160).

82325782512 is an abundant number, since it is smaller than the sum of its proper divisors (158282785808).

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

82325782512 is a wasteful number, since it uses less digits than its factorization.

82325782512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5648 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 82325782512 in words is "eighty-two billion, three hundred twenty-five million, seven hundred eighty-two thousand, five hundred twelve".