110416560320 has 224 divisors, whose sum is σ = 297480508416. Its totient is φ = 38682316800.

The previous prime is 110416560251. The next prime is 110416560329. The reversal of 110416560320 is 23065614011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110416560329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13410605 + ... + 13418835.

It is an arithmetic number, because the mean of its divisors is an integer number (1328037984).

Almost surely, 2^110416560320 is an apocalyptic number.

110416560320 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 110416560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148740254208).

110416560320 is an abundant number, since it is smaller than the sum of its proper divisors (187063948096).

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

110416560320 is a wasteful number, since it uses less digits than its factorization.

110416560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 110416560320 in words is "one hundred ten billion, four hundred sixteen million, five hundred sixty thousand, three hundred twenty".