565899048960 has 384 divisors, whose sum is σ = 2072635568640. Its totient is φ = 129125449728.

The previous prime is 565899048943. The next prime is 565899048977. The reversal of 565899048960 is 69840998565.

It is an interprime number because it is at equal distance from previous prime (565899048943) and next prime (565899048977).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×565899048960² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146870394 + ... + 146874246.

It is an arithmetic number, because the mean of its divisors is an integer number (5397488460).

Almost surely, 2^565899048960 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 565899048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036317784320).

565899048960 is an abundant number, since it is smaller than the sum of its proper divisors (1506736519680).

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

565899048960 is a wasteful number, since it uses less digits than its factorization.

565899048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 69.

The spelling of 565899048960 in words is "five hundred sixty-five billion, eight hundred ninety-nine million, forty-eight thousand, nine hundred sixty".