11509919190 has 432 divisors, whose sum is σ = 40390771824. Its totient is φ = 2248243200.

The previous prime is 11509919153. The next prime is 11509919203. The reversal of 11509919190 is 9191990511.

It is a super-2 number, since 2×11509919190² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14018980 + ... + 14019800.

It is an arithmetic number, because the mean of its divisors is an integer number (93497157).

Almost surely, 2^11509919190 is an apocalyptic number.

11509919190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11509919190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195385912).

11509919190 is an abundant number, since it is smaller than the sum of its proper divisors (28880852634).

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

11509919190 is a wasteful number, since it uses less digits than its factorization.

11509919190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 32805, while the sum is 45.

The spelling of 11509919190 in words is "eleven billion, five hundred nine million, nine hundred nineteen thousand, one hundred ninety".