11786708672000 has 640 divisors, whose sum is σ = 31864693386240. Its totient is φ = 4334122598400.

The previous prime is 11786708671979. The next prime is 11786708672003. The reversal of 11786708672000 is 27680768711.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11786708672003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9045823349 + ... + 9045824651.

It is an arithmetic number, because the mean of its divisors is an integer number (49788583416).

Almost surely, 2^{11786708672000} is an apocalyptic number.

11786708672000 is a gapful number since it is divisible by the number (10) 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 11786708672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15932346693120).

11786708672000 is an abundant number, since it is smaller than the sum of its proper divisors (20077984714240).

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

11786708672000 is a wasteful number, since it uses less digits than its factorization.

11786708672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 53.

The spelling of 11786708672000 in words is "eleven trillion, seven hundred eighty-six billion, seven hundred eight million, six hundred seventy-two thousand".