110272718887680 has 576 divisors, whose sum is σ = 362537701263360. Its totient is φ = 28552313438208.

The previous prime is 110272718887637. The next prime is 110272718887711. The reversal of 110272718887680 is 86788817272011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13201566384 + ... + 13201574736.

It is an arithmetic number, because the mean of its divisors is an integer number (629405731360).

Almost surely, 2^{110272718887680} is an apocalyptic number.

110272718887680 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 110272718887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181268850631680).

110272718887680 is an abundant number, since it is smaller than the sum of its proper divisors (252264982375680).

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

110272718887680 is a wasteful number, since it uses less digits than its factorization.

110272718887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8996 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 66.

The spelling of 110272718887680 in words is "one hundred ten trillion, two hundred seventy-two billion, seven hundred eighteen million, eight hundred eighty-seven thousand, six hundred eighty".