8579852260560 has 480 divisors, whose sum is σ = 34783109357568. Its totient is φ = 1853710064640.

The previous prime is 8579852260547. The next prime is 8579852260643. The reversal of 8579852260560 is 650622589758.

8579852260560 is a `hidden beast` number, since 8 + 5 + 7 + 9 + 8 + 5 + 2 + 2 + 60 + 560 = 666.

It is a super-2 number, since 2×8579852260560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6079779 + ... + 7356861.

Almost surely, 2^{8579852260560} is an apocalyptic number.

8579852260560 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 8579852260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17391554678784).

8579852260560 is an abundant number, since it is smaller than the sum of its proper divisors (26203257097008).

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

8579852260560 is a wasteful number, since it uses less digits than its factorization.

8579852260560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277183 (or 1277174 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 8579852260560 in words is "eight trillion, five hundred seventy-nine billion, eight hundred fifty-two million, two hundred sixty thousand, five hundred sixty".