11678766729084 has 384 divisors, whose sum is σ = 38057530613760. Its totient is φ = 3014929382400.

The previous prime is 11678766729083. The next prime is 11678766729121. The reversal of 11678766729084 is 48092766787611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11678766729083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224474994 + ... + 224527014.

It is an arithmetic number, because the mean of its divisors is an integer number (99108152640).

Almost surely, 2^{11678766729084} is an apocalyptic number.

11678766729084 is a gapful number since it is divisible by the number (14) 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 11678766729084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19028765306880).

11678766729084 is an abundant number, since it is smaller than the sum of its proper divisors (26378763884676).

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

11678766729084 is a wasteful number, since it uses less digits than its factorization.

11678766729084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52538 (or 52530 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 11678766729084 in words is "eleven trillion, six hundred seventy-eight billion, seven hundred sixty-six million, seven hundred twenty-nine thousand, eighty-four".