823264285572 has 180 divisors, whose sum is σ = 2309815764564. Its totient is φ = 255613501440.

The previous prime is 823264285567. The next prime is 823264285633. The reversal of 823264285572 is 275582462328.

823264285572 is a `hidden beast` number, since 8 + 2 + 3 + 2 + 64 + 2 + 8 + 5 + 572 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 174810954816 + 648453330756 = 418104^2 + 805266^2 .

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 9037372 + ... + 9128012.

Almost surely, 2^823264285572 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 823264285572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154907882282).

823264285572 is an abundant number, since it is smaller than the sum of its proper divisors (1486551478992).

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

823264285572 is a wasteful number, since it uses less digits than its factorization.

823264285572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90788 (or 90760 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 823264285572 in words is "eight hundred twenty-three billion, two hundred sixty-four million, two hundred eighty-five thousand, five hundred seventy-two".