564775580574712 has 128 divisors (see below), whose sum is σ = 1161581275008000. Its totient is φ = 255841164034560.

The previous prime is 564775580574629. The next prime is 564775580574823. The reversal of 564775580574712 is 217475085577465.

564775580574712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46510376913 + ... + 46510389055.

It is an arithmetic number, because the mean of its divisors is an integer number (9074853711000).

Almost surely, 2^{564775580574712} is an apocalyptic number.

564775580574712 is a gapful number since it is divisible by the number (52) 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 564775580574712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580790637504000).

564775580574712 is an abundant number, since it is smaller than the sum of its proper divisors (596805694433288).

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

564775580574712 is a wasteful number, since it uses less digits than its factorization.

564775580574712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23621 (or 23617 counting only the distinct ones).

The product of its (nonzero) digits is 2304960000, while the sum is 73.

The spelling of 564775580574712 in words is "five hundred sixty-four trillion, seven hundred seventy-five billion, five hundred eighty million, five hundred seventy-four thousand, seven hundred twelve".