10561005610064 has 120 divisors (see below), whose sum is σ = 25785332211240. Its totient is φ = 4177979559936.

The previous prime is 10561005610063. The next prime is 10561005610073. The reversal of 10561005610064 is 46001650016501.

It can be written as a sum of positive squares in 4 ways, for example, as 1822478400064 + 8738527210000 = 1349992^2 + 2956100^2 .

It is a super-2 number, since 2×10561005610064² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10561005610061) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1343249 + ... + 4788144.

It is an arithmetic number, because the mean of its divisors is an integer number (214877768427).

Almost surely, 2^{10561005610064} is an apocalyptic number.

10561005610064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10561005610064 is an abundant number, since it is smaller than the sum of its proper divisors (15224326601176).

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

10561005610064 is an equidigital number, since it uses as much as digits as its factorization.

10561005610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131454 (or 6131415 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 10561005610064 its reverse (46001650016501), we get a palindrome (56562655626565).

The spelling of 10561005610064 in words is "ten trillion, five hundred sixty-one billion, five million, six hundred ten thousand, sixty-four".