8579829681252 has 48 divisors (see below), whose sum is σ = 22244221339200. Its totient is φ = 2859915139200.

The previous prime is 8579829681211. The next prime is 8579829681259. The reversal of 8579829681252 is 2521869289758.

8579829681252 is a `hidden beast` number, since 8 + 5 + 7 + 9 + 8 + 296 + 81 + 252 = 666.

It is a super-3 number, since 3×8579829681252³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (8579829681259) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12673399 + ... + 13333217.

It is an arithmetic number, because the mean of its divisors is an integer number (463421277900).

Almost surely, 2^{8579829681252} is an apocalyptic number.

It is an amenable number.

8579829681252 is an abundant number, since it is smaller than the sum of its proper divisors (13664391657948).

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

8579829681252 is a wasteful number, since it uses less digits than its factorization.

8579829681252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780233 (or 780225 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 72.

The spelling of 8579829681252 in words is "eight trillion, five hundred seventy-nine billion, eight hundred twenty-nine million, six hundred eighty-one thousand, two hundred fifty-two".