564118288272 has 600 divisors, whose sum is σ = 2143475040960. Its totient is φ = 141466590720.

The previous prime is 564118288241. The next prime is 564118288273. The reversal of 564118288272 is 272882811465.

564118288272 is a `hidden beast` number, since 5 + 6 + 411 + 82 + 8 + 82 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (564118288273) 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 119 ways as a sum of consecutive naturals, for example, 20243853 + ... + 20271699.

Almost surely, 2^564118288272 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 564118288272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071737520480).

564118288272 is an abundant number, since it is smaller than the sum of its proper divisors (1579356752688).

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

564118288272 is a wasteful number, since it uses less digits than its factorization.

564118288272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27921 (or 27899 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 564118288272 in words is "five hundred sixty-four billion, one hundred eighteen million, two hundred eighty-eight thousand, two hundred seventy-two".