10561024760064 has 288 divisors, whose sum is σ = 31069703153664. Its totient is φ = 3167716147200.

The previous prime is 10561024760063. The next prime is 10561024760071. The reversal of 10561024760064 is 46006742016501.

It is a super-2 number, since 2×10561024760064² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10561024759998 and 10561024760025.

It is not an unprimeable number, because it can be changed into a prime (10561024760063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751613839 + ... + 751627889.

It is an arithmetic number, because the mean of its divisors is an integer number (107880913728).

Almost surely, 2^{10561024760064} 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 10561024760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534851576832).

10561024760064 is an abundant number, since it is smaller than the sum of its proper divisors (20508678393600).

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

10561024760064 is a wasteful number, since it uses less digits than its factorization.

10561024760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613 (or 16599 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 10561024760064 its reverse (46006742016501), we get a palindrome (56567766776565).

The spelling of 10561024760064 in words is "ten trillion, five hundred sixty-one billion, twenty-four million, seven hundred sixty thousand, sixty-four".