11917480320 has 256 divisors, whose sum is σ = 42330816000. Its totient is φ = 3168737280.

The previous prime is 11917480303. The next prime is 11917480327. The reversal of 11917480320 is 2308471911.

It is a happy number.

11917480320 is a `hidden beast` number, since 1 + 191 + 74 + 80 + 320 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11917480327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7585135 + ... + 7586705.

It is an arithmetic number, because the mean of its divisors is an integer number (165354750).

Almost surely, 2^11917480320 is an apocalyptic number.

11917480320 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 11917480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165408000).

11917480320 is an abundant number, since it is smaller than the sum of its proper divisors (30413335680).

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

11917480320 is a wasteful number, since it uses less digits than its factorization.

11917480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2020 counting only the distinct ones).

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

The spelling of 11917480320 in words is "eleven billion, nine hundred seventeen million, four hundred eighty thousand, three hundred twenty".