11847873041160 has 384 divisors, whose sum is σ = 38768202270720. Its totient is φ = 2895248818176.

The previous prime is 11847873041149. The next prime is 11847873041177. The reversal of 11847873041160 is 6114037874811.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1668006169 + ... + 1668013271.

It is an arithmetic number, because the mean of its divisors is an integer number (100958860080).

Almost surely, 2^{11847873041160} is an apocalyptic number.

11847873041160 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 11847873041160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384101135360).

11847873041160 is an abundant number, since it is smaller than the sum of its proper divisors (26920329229560).

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

11847873041160 is a wasteful number, since it uses less digits than its factorization.

11847873041160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7729 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 11847873041160 in words is "eleven trillion, eight hundred forty-seven billion, eight hundred seventy-three million, forty-one thousand, one hundred sixty".