823425123600 has 960 divisors, whose sum is σ = 3196024608000. Its totient is φ = 200658124800.

The previous prime is 823425123589. The next prime is 823425123617. The reversal of 823425123600 is 6321524328.

823425123600 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 25 + 1 + 23 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 816079896 + ... + 816080904.

It is an arithmetic number, because the mean of its divisors is an integer number (3329192300).

Almost surely, 2^823425123600 is an apocalyptic number.

823425123600 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 823425123600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598012304000).

823425123600 is an abundant number, since it is smaller than the sum of its proper divisors (2372599484400).

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

823425123600 is a wasteful number, since it uses less digits than its factorization.

823425123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 823425123600 its reverse (6321524328), we get a palindrome (829746647928).

The spelling of 823425123600 in words is "eight hundred twenty-three billion, four hundred twenty-five million, one hundred twenty-three thousand, six hundred".