11467889920 has 216 divisors, whose sum is σ = 30214510200. Its totient is φ = 4164550656.

The previous prime is 11467889843. The next prime is 11467889929. The reversal of 11467889920 is 2998876411.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 336795904 + 11131094016 = 18352^2 + 105504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11467889929) 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 23 ways as a sum of consecutive naturals, for example, 10727146 + ... + 10728214.

Almost surely, 2^11467889920 is an apocalyptic number.

11467889920 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 11467889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15107255100).

11467889920 is an abundant number, since it is smaller than the sum of its proper divisors (18746620280).

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

11467889920 is a wasteful number, since it uses less digits than its factorization.

11467889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 11467889920 in words is "eleven billion, four hundred sixty-seven million, eight hundred eighty-nine thousand, nine hundred twenty".