10561060512 has 144 divisors (see below), whose sum is σ = 31460607360. Its totient is φ = 3354210816.

The previous prime is 10561060511. The next prime is 10561060547. The reversal of 10561060512 is 21506016501.

It is a happy number.

10561060512 is a `hidden beast` number, since 1 + 0 + 56 + 1 + 0 + 605 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10561060512² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10561060511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778893 + ... + 1784819.

It is an arithmetic number, because the mean of its divisors is an integer number (218476440).

Almost surely, 2^10561060512 is an apocalyptic number.

10561060512 is a gapful number since it is divisible by the number (12) 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 10561060512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730303680).

10561060512 is an abundant number, since it is smaller than the sum of its proper divisors (20899546848).

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

10561060512 is a wasteful number, since it uses less digits than its factorization.

10561060512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10561060512 in words is "ten billion, five hundred sixty-one million, sixty thousand, five hundred twelve".