11684683255680 has 192 divisors, whose sum is σ = 40352713455600. Its totient is φ = 3115603427328.

The previous prime is 11684683255633. The next prime is 11684683255691. The reversal of 11684683255680 is 8655238648611.

11684683255680 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 4 + 68 + 3 + 2 + 5 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 60550707 + ... + 60743373.

Almost surely, 2^{11684683255680} is an apocalyptic number.

11684683255680 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 11684683255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20176356727800).

11684683255680 is an abundant number, since it is smaller than the sum of its proper divisors (28668030199920).

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

11684683255680 is a wasteful number, since it uses less digits than its factorization.

11684683255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203221 (or 203206 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 11684683255680 in words is "eleven trillion, six hundred eighty-four billion, six hundred eighty-three million, two hundred fifty-five thousand, six hundred eighty".