12859736064 has 192 divisors, whose sum is σ = 39728445120. Its totient is φ = 3623878656.

The previous prime is 12859736063. The next prime is 12859736077. The reversal of 12859736064 is 46063795821.

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

It is a junction number, because it is equal to n+sod(n) for n = 12859735998 and 12859736016.

It is not an unprimeable number, because it can be changed into a prime (12859736063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176160732 + ... + 176160804.

It is an arithmetic number, because the mean of its divisors is an integer number (206918985).

It is a 1-persistent number, because it is pandigital, but 2⋅12859736064 = 25719472128 is not.

Almost surely, 2^12859736064 is an apocalyptic number.

12859736064 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 12859736064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19864222560).

12859736064 is an abundant number, since it is smaller than the sum of its proper divisors (26868709056).

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

12859736064 is an frugal number, since it uses more digits than its factorization.

12859736064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 12859736064 in words is "twelve billion, eight hundred fifty-nine million, seven hundred thirty-six thousand, sixty-four".