11855584909992 has 32 divisors (see below), whose sum is σ = 29639369844000. Its totient is φ = 3951807294144.

The previous prime is 11855584909991. The next prime is 11855584910003. The reversal of 11855584909992 is 29990948555811.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11855584909991) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1595242 + ... + 5124057.

It is an arithmetic number, because the mean of its divisors is an integer number (926230307625).

Almost surely, 2^{11855584909992} is an apocalyptic number.

11855584909992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11855584909992 is an abundant number, since it is smaller than the sum of its proper divisors (17783784934008).

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

11855584909992 is a wasteful number, since it uses less digits than its factorization.

11855584909992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792825 (or 6792821 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 75.

The spelling of 11855584909992 in words is "eleven trillion, eight hundred fifty-five billion, five hundred eighty-four million, nine hundred nine thousand, nine hundred ninety-two".