564255104640500 has 192 divisors, whose sum is σ = 1516878587847168. Its totient is φ = 178558499404800.

The previous prime is 564255104640481. The next prime is 564255104640533. The reversal of 564255104640500 is 5046401552465.

It is a super-2 number, since 2×564255104640500² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431460599 + ... + 432766401.

It is an arithmetic number, because the mean of its divisors is an integer number (7900409311704).

Almost surely, 2^{564255104640500} is an apocalyptic number.

564255104640500 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 564255104640500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758439293923584).

564255104640500 is an abundant number, since it is smaller than the sum of its proper divisors (952623483206668).

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

564255104640500 is a wasteful number, since it uses less digits than its factorization.

564255104640500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315339 (or 1315327 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 47.

The spelling of 564255104640500 in words is "five hundred sixty-four trillion, two hundred fifty-five billion, one hundred four million, six hundred forty thousand, five hundred".