564239520000 has 1800 divisors, whose sum is σ = 2409478388856. Its totient is φ = 130056192000.

The previous prime is 564239519993. The next prime is 564239520023. The reversal of 564239520000 is 25932465.

564239520000 is a `hidden beast` number, since 5 + 64 + 2 + 395 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 485552537856 + 78686982144 = 696816^2 + 280512^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 199 ways as a sum of consecutive naturals, for example, 2864159902 + ... + 2864160098.

Almost surely, 2^564239520000 is an apocalyptic number.

564239520000 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 564239520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204739194428).

564239520000 is an abundant number, since it is smaller than the sum of its proper divisors (1845238868856).

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

564239520000 is a wasteful number, since it uses less digits than its factorization.

564239520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 564239520000 in words is "five hundred sixty-four billion, two hundred thirty-nine million, five hundred twenty thousand".