10564412688 has 200 divisors, whose sum is σ = 31442862528. Its totient is φ = 3422539008.

The previous prime is 10564412657. The next prime is 10564412689. The reversal of 10564412688 is 88621446501.

It is a happy number.

10564412688 is a `hidden beast` number, since 1 + 0 + 564 + 4 + 1 + 2 + 6 + 88 = 666.

It is a super-2 number, since 2×10564412688² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10564412689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16327981 + ... + 16328627.

Almost surely, 2^10564412688 is an apocalyptic number.

10564412688 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 10564412688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721431264).

10564412688 is an abundant number, since it is smaller than the sum of its proper divisors (20878449840).

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

10564412688 is a wasteful number, since it uses less digits than its factorization.

10564412688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10564412688 in words is "ten billion, five hundred sixty-four million, four hundred twelve thousand, six hundred eighty-eight".