11906842272 has 144 divisors (see below), whose sum is σ = 35013111840. Its totient is φ = 3537171456.

The previous prime is 11906842249. The next prime is 11906842289. The reversal of 11906842272 is 27224860911.

It is a super-2 number, since 2×11906842272² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 457843 + ... + 483149.

It is an arithmetic number, because the mean of its divisors is an integer number (243146610).

Almost surely, 2^11906842272 is an apocalyptic number.

11906842272 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 11906842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506555920).

11906842272 is an abundant number, since it is smaller than the sum of its proper divisors (23106269568).

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

11906842272 is a wasteful number, since it uses less digits than its factorization.

11906842272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25375 (or 25354 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 11906842272 in words is "eleven billion, nine hundred six million, eight hundred forty-two thousand, two hundred seventy-two".