1109170511100 has 288 divisors, whose sum is σ = 3615020498880. Its totient is φ = 295396165440.

The previous prime is 1109170511063. The next prime is 1109170511123. The reversal of 1109170511100 is 11150719011.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1434890314 + ... + 1434891086.

It is an arithmetic number, because the mean of its divisors is an integer number (12552154510).

Almost surely, 2^{1109170511100} is an apocalyptic number.

1109170511100 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 1109170511100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807510249440).

1109170511100 is an abundant number, since it is smaller than the sum of its proper divisors (2505849987780).

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

1109170511100 is an frugal number, since it uses more digits than its factorization.

1109170511100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 27.

The spelling of 1109170511100 in words is "one trillion, one hundred nine billion, one hundred seventy million, five hundred eleven thousand, one hundred".