11556506016195 has 256 divisors, whose sum is σ = 23382729216000. Its totient is φ = 4860552130560.

The previous prime is 11556506016179. The next prime is 11556506016221. The reversal of 11556506016195 is 59161060565511.

It is a happy number.

It is not a de Polignac number, because 11556506016195 - 2⁴ = 11556506016179 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 263026449 + ... + 263070381.

It is an arithmetic number, because the mean of its divisors is an integer number (91338786000).

Almost surely, 2^{11556506016195} is an apocalyptic number.

11556506016195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11556506016195 is an abundant number, since it is smaller than the sum of its proper divisors (11826223199805).

11556506016195 is a wasteful number, since it uses less digits than its factorization.

11556506016195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44075 (or 44061 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 51.

The spelling of 11556506016195 in words is "eleven trillion, five hundred fifty-six billion, five hundred six million, sixteen thousand, one hundred ninety-five".