823485790480320 has 840 divisors, whose sum is σ = 3136607944704000. Its totient is φ = 198291587788800.

The previous prime is 823485790480303. The next prime is 823485790480337. The reversal of 823485790480320 is 23084097584328.

823485790480320 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 85 + 79 + 0 + 480 + 3 + 2 + 0 = 666.

823485790480320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (823485790480303) and next prime (823485790480337).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6282680385 + ... + 6282811455.

Almost surely, 2^{823485790480320} is an apocalyptic number.

823485790480320 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 823485790480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568303972352000).

823485790480320 is an abundant number, since it is smaller than the sum of its proper divisors (2313122154223680).

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

823485790480320 is a wasteful number, since it uses less digits than its factorization.

823485790480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131287 (or 131241 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 823485790480320 in words is "eight hundred twenty-three trillion, four hundred eighty-five billion, seven hundred ninety million, four hundred eighty thousand, three hundred twenty".