110160000000 has 880 divisors, whose sum is σ = 435386190096. Its totient is φ = 27648000000.

The previous prime is 110159999987. The next prime is 110160000011. The reversal of 110160000000 is 61011.

It can be written as a sum of positive squares in 8 ways, for example, as 97284105216 + 12875894784 = 311904^2 + 113472^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6479999992 + ... + 6480000008.

Almost surely, 2^110160000000 is an apocalyptic number.

110160000000 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 110160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217693095048).

110160000000 is an abundant number, since it is smaller than the sum of its proper divisors (325226190096).

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

110160000000 is an frugal number, since it uses more digits than its factorization.

110160000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110160000000 its reverse (61011), we get a palindrome (110160061011).

The spelling of 110160000000 in words is "one hundred ten billion, one hundred sixty million", and thus it is an aban number.