564821259250752 has 1792 divisors, whose sum is σ = 2097763713024000. Its totient is φ = 145407716352000.

The previous prime is 564821259250751. The next prime is 564821259250757. The reversal of 564821259250752 is 257052952128465.

564821259250752 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 21 + 2 + 59 + 2 + 507 + 52 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 564821259250752.

It is not an unprimeable number, because it can be changed into a prime (564821259250751) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 100021470393 + ... + 100021476039.

It is an arithmetic number, because the mean of its divisors is an integer number (1170627072000).

Almost surely, 2^{564821259250752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564821259250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048881856512000).

564821259250752 is an abundant number, since it is smaller than the sum of its proper divisors (1532942453773248).

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

564821259250752 is a wasteful number, since it uses less digits than its factorization.

564821259250752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 63.

The spelling of 564821259250752 in words is "five hundred sixty-four trillion, eight hundred twenty-one billion, two hundred fifty-nine million, two hundred fifty thousand, seven hundred fifty-two".