10565000000 has 112 divisors (see below), whose sum is σ = 26218487568. Its totient is φ = 4224000000.

The previous prime is 10564999993. The next prime is 10565000003. The reversal of 10565000000 is 56501.

It can be written as a sum of positive squares in 8 ways, for example, as 4351777024 + 6213222976 = 65968^2 + 78824^2 .

It is a super-2 number, since 2×10565000000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10565000003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4998944 + ... + 5001056.

It is an arithmetic number, because the mean of its divisors is an integer number (234093639).

Almost surely, 2^10565000000 is an apocalyptic number.

10565000000 is a gapful number since it is divisible by the number (10) 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 10565000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13109243784).

10565000000 is an abundant number, since it is smaller than the sum of its proper divisors (15653487568).

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

10565000000 is an frugal number, since it uses more digits than its factorization.

10565000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

Adding to 10565000000 its reverse (56501), we get a palindrome (10565056501).

The spelling of 10565000000 in words is "ten billion, five hundred sixty-five million", and thus it is an aban number.