564534891600 has 480 divisors, whose sum is σ = 2004835432320. Its totient is φ = 135141457920.

The previous prime is 564534891593. The next prime is 564534891611. The reversal of 564534891600 is 6198435465.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49097052 + ... + 49108548.

It is an arithmetic number, because the mean of its divisors is an integer number (4176740484).

Almost surely, 2^564534891600 is an apocalyptic number.

564534891600 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 564534891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002417716160).

564534891600 is an abundant number, since it is smaller than the sum of its proper divisors (1440300540720).

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

564534891600 is a wasteful number, since it uses less digits than its factorization.

564534891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11647 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 564534891600 in words is "five hundred sixty-four billion, five hundred thirty-four million, eight hundred ninety-one thousand, six hundred".