11729677639680 has 4032 divisors, whose sum is σ = 58737222835200. Its totient is φ = 2122517053440.

The previous prime is 11729677639679. The next prime is 11729677639717. The reversal of 11729677639680 is 8693677692711.

It is a happy number.

11729677639680 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 96 + 7 + 76 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11729677639599 and 11729677639608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49078149001 + ... + 49078149239.

It is an arithmetic number, because the mean of its divisors is an integer number (14567763600).

Almost surely, 2^{11729677639680} is an apocalyptic number.

11729677639680 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 11729677639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29368611417600).

11729677639680 is an abundant number, since it is smaller than the sum of its proper divisors (47007545195520).

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

11729677639680 is a wasteful number, since it uses less digits than its factorization.

11729677639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 11729677639680 in words is "eleven trillion, seven hundred twenty-nine billion, six hundred seventy-seven million, six hundred thirty-nine thousand, six hundred eighty".