11417950720 has 480 divisors, whose sum is σ = 33647239296. Its totient is φ = 3676569600.

The previous prime is 11417950639. The next prime is 11417950727. The reversal of 11417950720 is 2705971411.

It is a self number, because there is not a number n which added to its sum of digits gives 11417950720.

It is not an unprimeable number, because it can be changed into a prime (11417950727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187179490 + ... + 187179550.

Almost surely, 2^11417950720 is an apocalyptic number.

11417950720 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 11417950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823619648).

11417950720 is an abundant number, since it is smaller than the sum of its proper divisors (22229288576).

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

11417950720 is a wasteful number, since it uses less digits than its factorization.

11417950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 11417950720 in words is "eleven billion, four hundred seventeen million, nine hundred fifty thousand, seven hundred twenty".