11706550272 has 168 divisors, whose sum is σ = 35099498070. Its totient is φ = 3901685760.

The previous prime is 11706550267. The next prime is 11706550279. The reversal of 11706550272 is 27205560711.

11706550272 is a `hidden beast` number, since 11 + 70 + 6 + 5 + 502 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10571129856 + 1135420416 = 102816^2 + 33696^2 .

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 (11706550279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1489072 + ... + 1496912.

Almost surely, 2^11706550272 is an apocalyptic number.

11706550272 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 11706550272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549749035).

11706550272 is an abundant number, since it is smaller than the sum of its proper divisors (23392947798).

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

11706550272 is an frugal number, since it uses more digits than its factorization.

11706550272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7881 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 11706550272 in words is "eleven billion, seven hundred six million, five hundred fifty thousand, two hundred seventy-two".