110100480000 has 480 divisors, whose sum is σ = 419296157280. Its totient is φ = 25165824000.

The previous prime is 110100479999. The next prime is 110100480011. The reversal of 110100480000 is 84001011.

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 (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15728639997 + ... + 15728640003.

It is an arithmetic number, because the mean of its divisors is an integer number (873533661).

Almost surely, 2^110100480000 is an apocalyptic number.

110100480000 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 110100480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209648078640).

110100480000 is an abundant number, since it is smaller than the sum of its proper divisors (309195677280).

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

110100480000 is an frugal number, since it uses more digits than its factorization.

110100480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110100480000 its reverse (84001011), we get a palindrome (110184481011).

The spelling of 110100480000 in words is "one hundred ten billion, one hundred million, four hundred eighty thousand".