823221268800 has 672 divisors, whose sum is σ = 3354036756480. Its totient is φ = 172506931200.

The previous prime is 823221268759. The next prime is 823221268847. The reversal of 823221268800 is 8862122328.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 19769602 + ... + 19811198.

Almost surely, 2^823221268800 is an apocalyptic number.

823221268800 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 823221268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677018378240).

823221268800 is an abundant number, since it is smaller than the sum of its proper divisors (2530815487680).

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

823221268800 is a wasteful number, since it uses less digits than its factorization.

823221268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41679 (or 41664 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 823221268800 in words is "eight hundred twenty-three billion, two hundred twenty-one million, two hundred sixty-eight thousand, eight hundred".