8801100000 has 864 divisors, whose sum is σ = 39309484032. Its totient is φ = 1814400000.

The previous prime is 8801099999. The next prime is 8801100001. The reversal of 8801100000 is 11088.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8801099999) and next prime (8801100001).

It is a super-2 number, since 2×8801100000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8801100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69299937 + ... + 69300063.

It is an arithmetic number, because the mean of its divisors is an integer number (45497088).

Almost surely, 2^8801100000 is an apocalyptic number.

8801100000 is a gapful number since it is divisible by the number (80) 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 8801100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19654742016).

8801100000 is an abundant number, since it is smaller than the sum of its proper divisors (30508384032).

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

8801100000 is a wasteful number, since it uses less digits than its factorization.

8801100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8801100000 is about 93814.1780329605. The cubic root of 8801100000 is about 2064.6462506716.

Adding to 8801100000 its reverse (11088), we get a palindrome (8801111088).

It can be divided in two parts, 8801 and 100000, that added together give a palindrome (108801).

The spelling of 8801100000 in words is "eight billion, eight hundred one million, one hundred thousand".