11678056519680 has 1536 divisors, whose sum is σ = 43884583142400. Its totient is φ = 2979773153280.

The previous prime is 11678056519663. The next prime is 11678056519687. The reversal of 11678056519680 is 8691565087611.

11678056519680 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 8 + 0 + 56 + 519 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11678056519687) 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, 64519649190 + ... + 64519649370.

It is an arithmetic number, because the mean of its divisors is an integer number (28570692150).

Almost surely, 2^{11678056519680} is an apocalyptic number.

11678056519680 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 11678056519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21942291571200).

11678056519680 is an abundant number, since it is smaller than the sum of its proper divisors (32206526622720).

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

11678056519680 is an frugal number, since it uses more digits than its factorization.

11678056519680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 11678056519680 in words is "eleven trillion, six hundred seventy-eight billion, fifty-six million, five hundred nineteen thousand, six hundred eighty".