11917417320 has 192 divisors, whose sum is σ = 40705441920. Its totient is φ = 3020032512.

The previous prime is 11917417319. The next prime is 11917417339. The reversal of 11917417320 is 2371471911.

11917417320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 562357 + ... + 583163.

It is an arithmetic number, because the mean of its divisors is an integer number (212007510).

Almost surely, 2^11917417320 is an apocalyptic number.

11917417320 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 11917417320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20352720960).

11917417320 is an abundant number, since it is smaller than the sum of its proper divisors (28788024600).

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

11917417320 is a wasteful number, since it uses less digits than its factorization.

11917417320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20904 (or 20897 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 11917417320 in words is "eleven billion, nine hundred seventeen million, four hundred seventeen thousand, three hundred twenty".