11417908320 has 288 divisors, whose sum is σ = 47955765312. Its totient is φ = 2409025536.

The previous prime is 11417908309. The next prime is 11417908343. The reversal of 11417908320 is 2380971411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87474 + ... + 174606.

It is an arithmetic number, because the mean of its divisors is an integer number (166513074).

Almost surely, 2^11417908320 is an apocalyptic number.

11417908320 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 11417908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23977882656).

11417908320 is an abundant number, since it is smaller than the sum of its proper divisors (36537856992).

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

11417908320 is a wasteful number, since it uses less digits than its factorization.

11417908320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87174 (or 87163 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11417908320 in words is "eleven billion, four hundred seventeen million, nine hundred eight thousand, three hundred twenty".