10564352568 has 576 divisors, whose sum is σ = 39181708800. Its totient is φ = 2533386240.

The previous prime is 10564352549. The next prime is 10564352587. The reversal of 10564352568 is 86525346501.

10564352568 is a `hidden beast` number, since 1 + 0 + 5 + 64 + 3 + 525 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (10564352549) and next prime (10564352587).

It is a super-2 number, since 2×10564352568² (a number of 21 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 44202193 + ... + 44202431.

It is an arithmetic number, because the mean of its divisors is an integer number (68023800).

Almost surely, 2^10564352568 is an apocalyptic number.

10564352568 is a gapful number since it is divisible by the number (18) 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 10564352568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19590854400).

10564352568 is an abundant number, since it is smaller than the sum of its proper divisors (28617356232).

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

10564352568 is a wasteful number, since it uses less digits than its factorization.

10564352568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 10564352568 in words is "ten billion, five hundred sixty-four million, three hundred fifty-two thousand, five hundred sixty-eight".