10561561824 has 96 divisors (see below), whose sum is σ = 30627555840. Its totient is φ = 3159936000.

The previous prime is 10561561783. The next prime is 10561561847. The reversal of 10561561824 is 42816516501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10561561824² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20124 + ... + 146724.

It is an arithmetic number, because the mean of its divisors is an integer number (319037040).

Almost surely, 2^10561561824 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 10561561824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313777920).

10561561824 is an abundant number, since it is smaller than the sum of its proper divisors (20065994016).

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

10561561824 is a wasteful number, since it uses less digits than its factorization.

10561561824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126704 (or 126696 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 10561561824 in words is "ten billion, five hundred sixty-one million, five hundred sixty-one thousand, eight hundred twenty-four".