11684460716880 has 960 divisors, whose sum is σ = 45089274101760. Its totient is φ = 2450535579648.

The previous prime is 11684460716861. The next prime is 11684460716893. The reversal of 11684460716880 is 8861706448611.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4297336161 + ... + 4297338879.

It is an arithmetic number, because the mean of its divisors is an integer number (46967993856).

Almost surely, 2^{11684460716880} is an apocalyptic number.

11684460716880 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 11684460716880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22544637050880).

11684460716880 is an abundant number, since it is smaller than the sum of its proper divisors (33404813384880).

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

11684460716880 is a wasteful number, since it uses less digits than its factorization.

11684460716880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 11684460716880 in words is "eleven trillion, six hundred eighty-four billion, four hundred sixty million, seven hundred sixteen thousand, eight hundred eighty".