110990880000 has 2430 divisors, whose sum is σ = 550642614522. Its totient is φ = 21288960000.

The previous prime is 110990879983. The next prime is 110990880019. The reversal of 110990880000 is 88099011.

It can be written as a sum of positive squares in 5 ways, for example, as 65037240576 + 45953639424 = 255024^2 + 214368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 269 ways as a sum of consecutive naturals, for example, 8537759994 + ... + 8537760006.

Almost surely, 2^110990880000 is an apocalyptic number.

110990880000 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 110990880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275321307261).

110990880000 is an abundant number, since it is smaller than the sum of its proper divisors (439651734522).

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

110990880000 is a wasteful number, since it uses less digits than its factorization.

110990880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 110990880000 in words is "one hundred ten billion, nine hundred ninety million, eight hundred eighty thousand".