823488328300800 has 432 divisors, whose sum is σ = 2888493095720960. Its totient is φ = 206019349585920.

The previous prime is 823488328300789. The next prime is 823488328300831. The reversal of 823488328300800 is 8003823884328.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 47 ways as a sum of consecutive naturals, for example, 26616297 + ... + 48532503.

Almost surely, 2^{823488328300800} is an apocalyptic number.

823488328300800 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 823488328300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444246547860480).

823488328300800 is an abundant number, since it is smaller than the sum of its proper divisors (2065004767420160).

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

823488328300800 is a wasteful number, since it uses less digits than its factorization.

823488328300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21916358 (or 21916339 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 57.

The spelling of 823488328300800 in words is "eight hundred twenty-three trillion, four hundred eighty-eight billion, three hundred twenty-eight million, three hundred thousand, eight hundred".