11811889152 has 280 divisors, whose sum is σ = 40344644736. Its totient is φ = 3373498368.

The previous prime is 11811889021. The next prime is 11811889157. The reversal of 11811889152 is 25198811811.

It is a junction number, because it is equal to n+sod(n) for n = 11811889098 and 11811889107.

It is not an unprimeable number, because it can be changed into a prime (11811889157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4643593 + ... + 4646135.

Almost surely, 2^11811889152 is an apocalyptic number.

11811889152 is a gapful number since it is divisible by the number (12) 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 11811889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20172322368).

11811889152 is an abundant number, since it is smaller than the sum of its proper divisors (28532755584).

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

11811889152 is an frugal number, since it uses more digits than its factorization.

11811889152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2555 counting only the distinct ones).

The product of its digits is 46080, while the sum is 45.

The spelling of 11811889152 in words is "eleven billion, eight hundred eleven million, eight hundred eighty-nine thousand, one hundred fifty-two".