11827074176 has 64 divisors (see below), whose sum is σ = 24407784000. Its totient is φ = 5701764096.

The previous prime is 11827074173. The next prime is 11827074209. The reversal of 11827074176 is 67147072811.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11827074173) 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 7 ways as a sum of consecutive naturals, for example, 3409595 + ... + 3413061.

It is an arithmetic number, because the mean of its divisors is an integer number (381371625).

Almost surely, 2^11827074176 is an apocalyptic number.

11827074176 is a gapful number since it is divisible by the number (16) 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 11827074176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203892000).

11827074176 is an abundant number, since it is smaller than the sum of its proper divisors (12580709824).

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

11827074176 is an equidigital number, since it uses as much as digits as its factorization.

11827074176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 44.

The spelling of 11827074176 in words is "eleven billion, eight hundred twenty-seven million, seventy-four thousand, one hundred seventy-six".