110056216140 has 576 divisors, whose sum is σ = 380414361600. Its totient is φ = 25577330688.

The previous prime is 110056216129. The next prime is 110056216183. The reversal of 110056216140 is 41612650011.

110056216140 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 562 + 1 + 61 + 40 = 666.

It is a super-2 number, since 2×110056216140² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 460486141 + ... + 460486379.

It is an arithmetic number, because the mean of its divisors is an integer number (660441600).

Almost surely, 2^110056216140 is an apocalyptic number.

110056216140 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 110056216140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190207180800).

110056216140 is an abundant number, since it is smaller than the sum of its proper divisors (270358145460).

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

110056216140 is a wasteful number, since it uses less digits than its factorization.

110056216140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 110056216140 its reverse (41612650011), we get a palindrome (151668866151).

The spelling of 110056216140 in words is "one hundred ten billion, fifty-six million, two hundred sixteen thousand, one hundred forty".