11188665972 has 288 divisors, whose sum is σ = 33915369600. Its totient is φ = 3157862400.

The previous prime is 11188665947. The next prime is 11188665977. The reversal of 11188665972 is 27956688111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11188665977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125715304 + ... + 125715392.

It is an arithmetic number, because the mean of its divisors is an integer number (117761700).

Almost surely, 2^11188665972 is an apocalyptic number.

11188665972 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 11188665972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16957684800).

11188665972 is an abundant number, since it is smaller than the sum of its proper divisors (22726703628).

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

11188665972 is a wasteful number, since it uses less digits than its factorization.

11188665972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 175 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 11188665972 in words is "eleven billion, one hundred eighty-eight million, six hundred sixty-five thousand, nine hundred seventy-two".