11872272384 has 448 divisors, whose sum is σ = 41258738880. Its totient is φ = 3344302080.

The previous prime is 11872272383. The next prime is 11872272389. The reversal of 11872272384 is 48327227811.

11872272384 is a `hidden beast` number, since 1 + 187 + 22 + 72 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11872272383) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 167215069 + ... + 167215139.

Almost surely, 2^11872272384 is an apocalyptic number.

11872272384 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 11872272384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629369440).

11872272384 is an abundant number, since it is smaller than the sum of its proper divisors (29386466496).

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

11872272384 is an frugal number, since it uses more digits than its factorization.

11872272384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 83 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 11872272384 in words is "eleven billion, eight hundred seventy-two million, two hundred seventy-two thousand, three hundred eighty-four".