823558275072 has 864 divisors, whose sum is σ = 2832276857760. Its totient is φ = 238496514048.

The previous prime is 823558275053. The next prime is 823558275079. The reversal of 823558275072 is 270572855328.

823558275072 is a `hidden beast` number, since 8 + 2 + 3 + 5 + 582 + 7 + 50 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823558275079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48444604408 + ... + 48444604424.

It is an arithmetic number, because the mean of its divisors is an integer number (3278098215).

Almost surely, 2^823558275072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823558275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416138428880).

823558275072 is an abundant number, since it is smaller than the sum of its proper divisors (2008718582688).

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

823558275072 is an frugal number, since it uses more digits than its factorization.

823558275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 823558275072 in words is "eight hundred twenty-three billion, five hundred fifty-eight million, two hundred seventy-five thousand, seventy-two".