11786646720 has 224 divisors, whose sum is σ = 39732069888. Its totient is φ = 2950152192.

The previous prime is 11786646719. The next prime is 11786646721. The reversal of 11786646720 is 2764668711.

11786646720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11786646719) and next prime (11786646721).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11786646720.

It is not an unprimeable number, because it can be changed into a prime (11786646721) 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 31 ways as a sum of consecutive naturals, for example, 7947099 + ... + 7948581.

It is an arithmetic number, because the mean of its divisors is an integer number (177375312).

Almost surely, 2^11786646720 is an apocalyptic number.

11786646720 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 11786646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866034944).

11786646720 is an abundant number, since it is smaller than the sum of its proper divisors (27945423168).

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

11786646720 is a wasteful number, since it uses less digits than its factorization.

11786646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 11786646720 in words is "eleven billion, seven hundred eighty-six million, six hundred forty-six thousand, seven hundred twenty".