11706400000 has 108 divisors (see below), whose sum is σ = 29208966444. Its totient is φ = 4682240000.

The previous prime is 11706399989. The next prime is 11706400019. The reversal of 11706400000 is 460711.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11653634304 + 52765696 = 107952^2 + 7264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792684 + ... + 807316.

It is an arithmetic number, because the mean of its divisors is an integer number (270453393).

Almost surely, 2^11706400000 is an apocalyptic number.

11706400000 is a gapful number since it is divisible by the number (10) 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 11706400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604483222).

11706400000 is an abundant number, since it is smaller than the sum of its proper divisors (17502566444).

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

11706400000 is an frugal number, since it uses more digits than its factorization.

11706400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14674 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 11706400000 its reverse (460711), we get a palindrome (11706860711).

The spelling of 11706400000 in words is "eleven billion, seven hundred six million, four hundred thousand".