11672009856 has 192 divisors, whose sum is σ = 36253264320. Its totient is φ = 3583236096.

The previous prime is 11672009851. The next prime is 11672009863. The reversal of 11672009856 is 65890027611.

11672009856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11672009856² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11672009851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12324775 + ... + 12325721.

It is an arithmetic number, because the mean of its divisors is an integer number (188819085).

Almost surely, 2^11672009856 is an apocalyptic number.

11672009856 is a gapful number since it is divisible by the number (16) 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 11672009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18126632160).

11672009856 is an abundant number, since it is smaller than the sum of its proper divisors (24581254464).

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

11672009856 is a wasteful number, since it uses less digits than its factorization.

11672009856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11672009856 in words is "eleven billion, six hundred seventy-two million, nine thousand, eight hundred fifty-six".