11712206304 has 288 divisors, whose sum is σ = 36173329920. Its totient is φ = 3581300736.

The previous prime is 11712206251. The next prime is 11712206377. The reversal of 11712206304 is 40360221711.

11712206304 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 2 + 20 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41385747 + ... + 41386029.

It is an arithmetic number, because the mean of its divisors is an integer number (125601840).

Almost surely, 2^11712206304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11712206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086664960).

11712206304 is an abundant number, since it is smaller than the sum of its proper divisors (24461123616).

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

11712206304 is a wasteful number, since it uses less digits than its factorization.

11712206304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11712206304 in words is "eleven billion, seven hundred twelve million, two hundred six thousand, three hundred four".