11876578224 has 160 divisors (see below), whose sum is σ = 35926986240. Its totient is φ = 3310688256.

The previous prime is 11876578201. The next prime is 11876578279. The reversal of 11876578224 is 42287567811.

It is a happy number.

11876578224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11876578224² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2713702 + ... + 2718074.

It is an arithmetic number, because the mean of its divisors is an integer number (224543664).

Almost surely, 2^11876578224 is an apocalyptic number.

11876578224 is a gapful number since it is divisible by the number (14) 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 11876578224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17963493120).

11876578224 is an abundant number, since it is smaller than the sum of its proper divisors (24050408016).

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

11876578224 is a wasteful number, since it uses less digits than its factorization.

11876578224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4581 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The spelling of 11876578224 in words is "eleven billion, eight hundred seventy-six million, five hundred seventy-eight thousand, two hundred twenty-four".