11558730317472 has 288 divisors, whose sum is σ = 37276589750400. Its totient is φ = 3370687727616.

The previous prime is 11558730317429. The next prime is 11558730317513. The reversal of 11558730317472 is 27471303785511.

It is a happy number.

11558730317472 is a `hidden beast` number, since 1 + 1 + 5 + 587 + 3 + 0 + 3 + 17 + 47 + 2 = 666.

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

It is a super-3 number, since 3×11558730317472³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8770479 + ... + 10001937.

It is an arithmetic number, because the mean of its divisors is an integer number (129432603300).

Almost surely, 2^{11558730317472} is an apocalyptic number.

11558730317472 is a gapful number since it is divisible by the number (12) 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 11558730317472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638294875200).

11558730317472 is an abundant number, since it is smaller than the sum of its proper divisors (25717859432928).

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

11558730317472 is a wasteful number, since it uses less digits than its factorization.

11558730317472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231620 (or 1231609 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 11558730317472 in words is "eleven trillion, five hundred fifty-eight billion, seven hundred thirty million, three hundred seventeen thousand, four hundred seventy-two".