825539232000 has 576 divisors, whose sum is σ = 3164436946944. Its totient is φ = 186847027200.

The previous prime is 825539231999. The next prime is 825539232041. The reversal of 825539232000 is 232935528.

It is a super-2 number, since 2×825539232000² (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 825539232000.

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 63 ways as a sum of consecutive naturals, for example, 69210037 + ... + 69221963.

It is an arithmetic number, because the mean of its divisors is an integer number (5493814144).

Almost surely, 2^825539232000 is an apocalyptic number.

825539232000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825539232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582218473472).

825539232000 is an abundant number, since it is smaller than the sum of its proper divisors (2338897714944).

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

825539232000 is a wasteful number, since it uses less digits than its factorization.

825539232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12071 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 825539232000 in words is "eight hundred twenty-five billion, five hundred thirty-nine million, two hundred thirty-two thousand".