11107827432 has 192 divisors, whose sum is σ = 33710040000. Its totient is φ = 3406385664.

The previous prime is 11107827427. The next prime is 11107827433. The reversal of 11107827432 is 23472870111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11107827433) 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 47 ways as a sum of consecutive naturals, for example, 10588444 + ... + 10589492.

It is an arithmetic number, because the mean of its divisors is an integer number (175573125).

Almost surely, 2^11107827432 is an apocalyptic number.

11107827432 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 11107827432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855020000).

11107827432 is an abundant number, since it is smaller than the sum of its proper divisors (22602212568).

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

11107827432 is a wasteful number, since it uses less digits than its factorization.

11107827432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11107827432 in words is "eleven billion, one hundred seven million, eight hundred twenty-seven thousand, four hundred thirty-two".