11187662772 has 288 divisors, whose sum is σ = 32141007360. Its totient is φ = 3000291840.

The previous prime is 11187662687. The next prime is 11187662779. The reversal of 11187662772 is 27726678111.

Its product of digits (395136) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11187662779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102639054 + ... + 102639162.

It is an arithmetic number, because the mean of its divisors is an integer number (111600720).

Almost surely, 2^11187662772 is an apocalyptic number.

11187662772 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 11187662772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070503680).

11187662772 is an abundant number, since it is smaller than the sum of its proper divisors (20953344588).

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

11187662772 is a wasteful number, since it uses less digits than its factorization.

11187662772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its digits is 395136, while the sum is 48.

The spelling of 11187662772 in words is "eleven billion, one hundred eighty-seven million, six hundred sixty-two thousand, seven hundred seventy-two".