564993248995200 has 384 divisors, whose sum is σ = 1870105151859840. Its totient is φ = 149923630080000.

The previous prime is 564993248995181. The next prime is 564993248995249. The reversal of 564993248995200 is 2599842399465.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12763283467 + ... + 12763327733.

It is an arithmetic number, because the mean of its divisors is an integer number (4870065499635).

Almost surely, 2^{564993248995200} is an apocalyptic number.

564993248995200 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 564993248995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935052575929920).

564993248995200 is an abundant number, since it is smaller than the sum of its proper divisors (1305111902864640).

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

564993248995200 is a wasteful number, since it uses less digits than its factorization.

564993248995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50806 (or 50789 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 75.

The spelling of 564993248995200 in words is "five hundred sixty-four trillion, nine hundred ninety-three billion, two hundred forty-eight million, nine hundred ninety-five thousand, two hundred".