10559144960 has 352 divisors, whose sum is σ = 31594413312. Its totient is φ = 3297116160.

The previous prime is 10559144909. The next prime is 10559145001. The reversal of 10559144960 is 6944195501.

It is a super-2 number, since 2×10559144960² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61035434 + ... + 61035606.

It is an arithmetic number, because the mean of its divisors is an integer number (89756856).

Almost surely, 2^10559144960 is an apocalyptic number.

10559144960 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 10559144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797206656).

10559144960 is an abundant number, since it is smaller than the sum of its proper divisors (21035268352).

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

10559144960 is a wasteful number, since it uses less digits than its factorization.

10559144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 10559144960 in words is "ten billion, five hundred fifty-nine million, one hundred forty-four thousand, nine hundred sixty".