564985244880 has 2160 divisors, whose sum is σ = 2540726383104. Its totient is φ = 116162242560.

The previous prime is 564985244833. The next prime is 564985244917. The reversal of 564985244880 is 88442589465.

564985244880 is a `hidden beast` number, since 5 + 6 + 498 + 5 + 24 + 48 + 80 = 666.

564985244880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×564985244880² (a number of 24 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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 10660098934 + ... + 10660098986.

Almost surely, 2^564985244880 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 564985244880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270363191552).

564985244880 is an abundant number, since it is smaller than the sum of its proper divisors (1975741138224).

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

564985244880 is a wasteful number, since it uses less digits than its factorization.

564985244880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 564985244880 in words is "five hundred sixty-four billion, nine hundred eighty-five million, two hundred forty-four thousand, eight hundred eighty".