11109160000 has 315 divisors, whose sum is σ = 30237256137. Its totient is φ = 4047360000.

The previous prime is 11109159977. The next prime is 11109160001. The reversal of 11109160000 is 6190111.

The square root of 11109160000 is 105400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5425206336 + 5683953664 = 73656^2 + 75392^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11109160000.

It is not an unprimeable number, because it can be changed into a prime (11109160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 358359985 + ... + 358360015.

Almost surely, 2^11109160000 is an apocalyptic number.

11109160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11109160000 is the 105400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109160000

11109160000 is an abundant number, since it is smaller than the sum of its proper divisors (19128096137).

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

11109160000 is an frugal number, since it uses more digits than its factorization.

11109160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 11109160000 in words is "eleven billion, one hundred nine million, one hundred sixty thousand".