825645727319382 has 288 divisors, whose sum is σ = 1947948172541280. Its totient is φ = 252412472632320.

The previous prime is 825645727319321. The next prime is 825645727319401. The reversal of 825645727319382 is 283913727546528.

It is a happy number.

825645727319382 is a `hidden beast` number, since 8 + 2 + 5 + 6 + 4 + 572 + 7 + 3 + 19 + 38 + 2 = 666.

825645727319382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 825645727319382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99583366657 + ... + 99583374947.

It is an arithmetic number, because the mean of its divisors is an integer number (6763708932435).

Almost surely, 2^{825645727319382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825645727319382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973974086270640).

825645727319382 is an abundant number, since it is smaller than the sum of its proper divisors (1122302445221898).

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

825645727319382 is a wasteful number, since it uses less digits than its factorization.

825645727319382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828 (or 10802 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 825645727319382 in words is "eight hundred twenty-five trillion, six hundred forty-five billion, seven hundred twenty-seven million, three hundred nineteen thousand, three hundred eighty-two".