110116800000 has 480 divisors, whose sum is σ = 407575476000. Its totient is φ = 29352960000.

The previous prime is 110116799987. The next prime is 110116800037. The reversal of 110116800000 is 8611011.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43198726 + ... + 43201274.

It is an arithmetic number, because the mean of its divisors is an integer number (849115575).

Almost surely, 2^110116800000 is an apocalyptic number.

110116800000 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 110116800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203787738000).

110116800000 is an abundant number, since it is smaller than the sum of its proper divisors (297458676000).

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

110116800000 is an frugal number, since it uses more digits than its factorization.

110116800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

It can be divided in two parts, 110116 and 800000, that added together give a square (910116 = 954²).

The spelling of 110116800000 in words is "one hundred ten billion, one hundred sixteen million, eight hundred thousand".