10561000576 has 192 divisors, whose sum is σ = 26624515320. Its totient is φ = 4143218688.

The previous prime is 10561000573. The next prime is 10561000589. The reversal of 10561000576 is 67500016501.

It can be written as a sum of positive squares in 4 ways, for example, as 9374886976 + 1186113600 = 96824^2 + 34440^2 .

It is a super-2 number, since 2×10561000576² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10561000573) 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, 3943750 + ... + 3946426.

Almost surely, 2^10561000576 is an apocalyptic number.

10561000576 is a gapful number since it is divisible by the number (16) 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 10561000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312257660).

10561000576 is an abundant number, since it is smaller than the sum of its proper divisors (16063514744).

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

10561000576 is a wasteful number, since it uses less digits than its factorization.

10561000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 10561000576 in words is "ten billion, five hundred sixty-one million, five hundred seventy-six", and thus it is an aban number.