565007136000 has 576 divisors, whose sum is σ = 1923668248320. Its totient is φ = 146932531200.

The previous prime is 565007135989. The next prime is 565007136007. The reversal of 565007136000 is 631700565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565007136007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490783811 + ... + 1490784189.

It is an arithmetic number, because the mean of its divisors is an integer number (3339701820).

Almost surely, 2^565007136000 is an apocalyptic number.

565007136000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565007136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961834124160).

565007136000 is an abundant number, since it is smaller than the sum of its proper divisors (1358661112320).

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

565007136000 is a wasteful number, since it uses less digits than its factorization.

565007136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

Adding to 565007136000 its reverse (631700565), we get a palindrome (565638836565).

The spelling of 565007136000 in words is "five hundred sixty-five billion, seven million, one hundred thirty-six thousand".