11906965272 has 64 divisors (see below), whose sum is σ = 30315202560. Its totient is φ = 3896208000.

The previous prime is 11906965237. The next prime is 11906965283. The reversal of 11906965272 is 27256960911.

It is a super-2 number, since 2×11906965272² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 757897 + ... + 773447.

It is an arithmetic number, because the mean of its divisors is an integer number (473675040).

Almost surely, 2^11906965272 is an apocalyptic number.

11906965272 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 11906965272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157601280).

11906965272 is an abundant number, since it is smaller than the sum of its proper divisors (18408237288).

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

11906965272 is a wasteful number, since it uses less digits than its factorization.

11906965272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16144 (or 16140 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 11906965272 in words is "eleven billion, nine hundred six million, nine hundred sixty-five thousand, two hundred seventy-two".