10541089600 has 84 divisors (see below), whose sum is σ = 25975507104. Its totient is φ = 4210286080.

The previous prime is 10541089597. The next prime is 10541089609. The reversal of 10541089600 is 698014501.

It is a super-2 number, since 2×10541089600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541089609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1184367 + ... + 1193233.

Almost surely, 2^10541089600 is an apocalyptic number.

10541089600 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 10541089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987753552).

10541089600 is an abundant number, since it is smaller than the sum of its proper divisors (15434417504).

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

10541089600 is an equidigital number, since it uses as much as digits as its factorization.

10541089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9632 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 10541089600 in words is "ten billion, five hundred forty-one million, eighty-nine thousand, six hundred".