564090800000 has 384 divisors, whose sum is σ = 1728884969280. Its totient is φ = 178513920000.

The previous prime is 564090799991. The next prime is 564090800047. The reversal of 564090800000 is 8090465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 564090800000.

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 47 ways as a sum of consecutive naturals, for example, 36392252 + ... + 36407748.

Almost surely, 2^564090800000 is an apocalyptic number.

564090800000 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 564090800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864442484640).

564090800000 is an abundant number, since it is smaller than the sum of its proper divisors (1164794169280).

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

564090800000 is an equidigital number, since it uses as much as digits as its factorization.

564090800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15556 (or 15524 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 564090800000 its reverse (8090465), we get a palindrome (564098890465).

The spelling of 564090800000 in words is "five hundred sixty-four billion, ninety million, eight hundred thousand".