1110000000096 has 288 divisors, whose sum is σ = 3512163852288. Its totient is φ = 330226191360.

The previous prime is 1110000000079. The next prime is 1110000000097. The reversal of 1110000000096 is 6900000000111.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110000000097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154013325 + ... + 154020531.

It is an arithmetic number, because the mean of its divisors is an integer number (12195013376).

Almost surely, 2^{1110000000096} is an apocalyptic number.

1110000000096 is a gapful number since it is divisible by the number (16) 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 1110000000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756081926144).

1110000000096 is an abundant number, since it is smaller than the sum of its proper divisors (2402163852192).

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

1110000000096 is a wasteful number, since it uses less digits than its factorization.

1110000000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 1110000000096 in words is "one trillion, one hundred ten billion, ninety-six", and thus it is an aban number.