110027688960 has 792 divisors, whose sum is σ = 429537403440. Its totient is φ = 23939973120.

The previous prime is 110027688941. The next prime is 110027688961. The reversal of 110027688960 is 69886720011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (110027688961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1549685725 + ... + 1549685795.

Almost surely, 2^110027688960 is an apocalyptic number.

110027688960 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 110027688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214768701720).

110027688960 is an abundant number, since it is smaller than the sum of its proper divisors (319509714480).

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

110027688960 is an equidigital number, since it uses as much as digits as its factorization.

110027688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 110027688960 in words is "one hundred ten billion, twenty-seven million, six hundred eighty-eight thousand, nine hundred sixty".