564299915200 has 252 divisors, whose sum is σ = 1616795034120. Its totient is φ = 193286768640.

The previous prime is 564299915189. The next prime is 564299915227. The reversal of 564299915200 is 2519992465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98702742 + ... + 98708458.

It is an arithmetic number, because the mean of its divisors is an integer number (6415853310).

Almost surely, 2^564299915200 is an apocalyptic number.

564299915200 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 564299915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808397517060).

564299915200 is an abundant number, since it is smaller than the sum of its proper divisors (1052495118920).

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

564299915200 is a wasteful number, since it uses less digits than its factorization.

564299915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7012 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 564299915200 in words is "five hundred sixty-four billion, two hundred ninety-nine million, nine hundred fifteen thousand, two hundred".