11190705120 has 384 divisors, whose sum is σ = 47121177600. Its totient is φ = 2423126016.

The previous prime is 11190705077. The next prime is 11190705133. The reversal of 11190705120 is 2150709111.

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 63 ways as a sum of consecutive naturals, for example, 564822 + ... + 584298.

It is an arithmetic number, because the mean of its divisors is an integer number (122711400).

Almost surely, 2^11190705120 is an apocalyptic number.

11190705120 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 11190705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23560588800).

11190705120 is an abundant number, since it is smaller than the sum of its proper divisors (35930472480).

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

11190705120 is a wasteful number, since it uses less digits than its factorization.

11190705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19527 (or 19513 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The spelling of 11190705120 in words is "eleven billion, one hundred ninety million, seven hundred five thousand, one hundred twenty".