10889869600 has 144 divisors (see below), whose sum is σ = 27479366208. Its totient is φ = 4210928640.

The previous prime is 10889869541. The next prime is 10889869603. The reversal of 10889869600 is 696898801.

It is not an unprimeable number, because it can be changed into a prime (10889869603) 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, 4942099 + ... + 4944301.

It is an arithmetic number, because the mean of its divisors is an integer number (190828932).

Almost surely, 2^10889869600 is an apocalyptic number.

10889869600 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 10889869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739683104).

10889869600 is an abundant number, since it is smaller than the sum of its proper divisors (16589496608).

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

10889869600 is a wasteful number, since it uses less digits than its factorization.

10889869600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The spelling of 10889869600 in words is "ten billion, eight hundred eighty-nine million, eight hundred sixty-nine thousand, six hundred".