11417958720 has 448 divisors, whose sum is σ = 46700236800. Its totient is φ = 2572093440.

The previous prime is 11417958709. The next prime is 11417958733. The reversal of 11417958720 is 2785971411.

It is a happy number.

11417958720 is a `hidden beast` number, since 1 + 1 + 41 + 7 + 9 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4292751 + ... + 4295409.

It is an arithmetic number, because the mean of its divisors is an integer number (104241600).

Almost surely, 2^11417958720 is an apocalyptic number.

11417958720 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 11417958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350118400).

11417958720 is an abundant number, since it is smaller than the sum of its proper divisors (35282278080).

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

11417958720 is a wasteful number, since it uses less digits than its factorization.

11417958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 11417958720 in words is "eleven billion, four hundred seventeen million, nine hundred fifty-eight thousand, seven hundred twenty".