825285425184 has 432 divisors, whose sum is σ = 2708758293696. Its totient is φ = 237707965440.

The previous prime is 825285425179. The next prime is 825285425203. The reversal of 825285425184 is 481524582528.

825285425184 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 85 + 42 + 518 + 4 = 666.

It is a super-2 number, since 2×825285425184² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 825285425184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130641994 + ... + 130648310.

It is an arithmetic number, because the mean of its divisors is an integer number (6270273828).

Almost surely, 2^825285425184 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 825285425184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354379146848).

825285425184 is an abundant number, since it is smaller than the sum of its proper divisors (1883472868512).

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

825285425184 is a wasteful number, since it uses less digits than its factorization.

825285425184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541 (or 6519 counting only the distinct ones).

The product of its digits is 8192000, while the sum is 54.

The spelling of 825285425184 in words is "eight hundred twenty-five billion, two hundred eighty-five million, four hundred twenty-five thousand, one hundred eighty-four".