565146408960 has 1920 divisors, whose sum is σ = 2511565056000. Its totient is φ = 118674948096.

The previous prime is 565146408833. The next prime is 565146408971. The reversal of 565146408960 is 69804641565.

565146408960 is a `hidden beast` number, since 5 + 6 + 5 + 146 + 408 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 565146408897 and 565146408906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5184829386 + ... + 5184829494.

It is an arithmetic number, because the mean of its divisors is an integer number (1308106800).

Almost surely, 2^565146408960 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 565146408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255782528000).

565146408960 is an abundant number, since it is smaller than the sum of its proper divisors (1946418647040).

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

565146408960 is a wasteful number, since it uses less digits than its factorization.

565146408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 565146408960 in words is "five hundred sixty-five billion, one hundred forty-six million, four hundred eight thousand, nine hundred sixty".