10541360128 has 66 divisors (see below), whose sum is σ = 22818445314. Its totient is φ = 4865163264.

The previous prime is 10541360101. The next prime is 10541360129. The reversal of 10541360128 is 82106314501.

It can be written as a sum of positive squares in 3 ways, for example, as 1423401984 + 9117958144 = 37728^2 + 95488^2 .

It is a super-2 number, since 2×10541360128² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10541360128.

It is not an unprimeable number, because it can be changed into a prime (10541360129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142600 + ... + 203512.

Almost surely, 2^10541360128 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 10541360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11409222657).

10541360128 is an abundant number, since it is smaller than the sum of its proper divisors (12277085186).

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

10541360128 is an equidigital number, since it uses as much as digits as its factorization.

10541360128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60959 (or 60928 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 10541360128 its reverse (82106314501), we get a palindrome (92647674629).

The spelling of 10541360128 in words is "ten billion, five hundred forty-one million, three hundred sixty thousand, one hundred twenty-eight".