110084638720 has 288 divisors, whose sum is σ = 320656190400. Its totient is φ = 36098506752.

The previous prime is 110084638673. The next prime is 110084638723. The reversal of 110084638720 is 27836480011.

It is a super-2 number, since 2×110084638720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110084638723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11535711 + ... + 11545249.

It is an arithmetic number, because the mean of its divisors is an integer number (1113389550).

Almost surely, 2^110084638720 is an apocalyptic number.

110084638720 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 110084638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160328095200).

110084638720 is an abundant number, since it is smaller than the sum of its proper divisors (210571551680).

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

110084638720 is an equidigital number, since it uses as much as digits as its factorization.

110084638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9603 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 110084638720 in words is "one hundred ten billion, eighty-four million, six hundred thirty-eight thousand, seven hundred twenty".