10887161800 has 96 divisors (see below), whose sum is σ = 25737192000. Its totient is φ = 4282433280.

The previous prime is 10887161731. The next prime is 10887161801. The reversal of 10887161800 is 816178801.

It is a happy number.

10887161800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10887161801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3067627 + ... + 3071173.

It is an arithmetic number, because the mean of its divisors is an integer number (268095750).

Almost surely, 2^10887161800 is an apocalyptic number.

10887161800 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 10887161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868596000).

10887161800 is an abundant number, since it is smaller than the sum of its proper divisors (14850030200).

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

10887161800 is a wasteful number, since it uses less digits than its factorization.

10887161800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 40.

The spelling of 10887161800 in words is "ten billion, eight hundred eighty-seven million, one hundred sixty-one thousand, eight hundred".