823796559360 has 640 divisors, whose sum is σ = 3091179294720. Its totient is φ = 207625420800.

The previous prime is 823796559319. The next prime is 823796559367. The reversal of 823796559360 is 63955697328.

823796559360 is a `hidden beast` number, since 8 + 2 + 3 + 79 + 6 + 559 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823796559367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92132490 + ... + 92141430.

It is an arithmetic number, because the mean of its divisors is an integer number (4829967648).

Almost surely, 2^823796559360 is an apocalyptic number.

823796559360 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 823796559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545589647360).

823796559360 is an abundant number, since it is smaller than the sum of its proper divisors (2267382735360).

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

823796559360 is a wasteful number, since it uses less digits than its factorization.

823796559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9047 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 823796559360 in words is "eight hundred twenty-three billion, seven hundred ninety-six million, five hundred fifty-nine thousand, three hundred sixty".