564853087872 has 448 divisors, whose sum is σ = 1786005720000. Its totient is φ = 177367449600.

The previous prime is 564853087871. The next prime is 564853087951. The reversal of 564853087872 is 278780358465.

564853087872 is a `hidden beast` number, since 5 + 6 + 485 + 3 + 0 + 87 + 8 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (564853087871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 352811872 + ... + 352813472.

Almost surely, 2^564853087872 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 564853087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893002860000).

564853087872 is an abundant number, since it is smaller than the sum of its proper divisors (1221152632128).

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

564853087872 is a wasteful number, since it uses less digits than its factorization.

564853087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 564853087872 in words is "five hundred sixty-four billion, eight hundred fifty-three million, eighty-seven thousand, eight hundred seventy-two".