825328863072 has 576 divisors, whose sum is σ = 2925567590400. Its totient is φ = 215622328320.

The previous prime is 825328863059. The next prime is 825328863083. The reversal of 825328863072 is 270368823528.

825328863072 is a `hidden beast` number, since 8 + 2 + 5 + 328 + 8 + 6 + 307 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85177204 + ... + 85186892.

It is an arithmetic number, because the mean of its divisors is an integer number (5079110400).

Almost surely, 2^825328863072 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 825328863072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462783795200).

825328863072 is an abundant number, since it is smaller than the sum of its proper divisors (2100238727328).

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

825328863072 is a wasteful number, since it uses less digits than its factorization.

825328863072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9819 (or 9808 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 825328863072 in words is "eight hundred twenty-five billion, three hundred twenty-eight million, eight hundred sixty-three thousand, seventy-two".