564550364135010 has 512 divisors, whose sum is σ = 1614731762073600. Its totient is φ = 124882455075840.

The previous prime is 564550364134951. The next prime is 564550364135027. The reversal of 564550364135010 is 10531463055465.

It is a super-2 number, since 2×564550364135010² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8926089207 + ... + 8926152453.

It is an arithmetic number, because the mean of its divisors is an integer number (3153772972800).

Almost surely, 2^{564550364135010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564550364135010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807365881036800).

564550364135010 is an abundant number, since it is smaller than the sum of its proper divisors (1050181397938590).

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

564550364135010 is a wasteful number, since it uses less digits than its factorization.

564550364135010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63806.

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 564550364135010 in words is "five hundred sixty-four trillion, five hundred fifty billion, three hundred sixty-four million, one hundred thirty-five thousand, ten".