12564520386080 has 192 divisors, whose sum is σ = 32112622323936. Its totient is φ = 4618113024000.

The previous prime is 12564520386079. The next prime is 12564520386133. The reversal of 12564520386080 is 8068302546521.

It can be written as a sum of positive squares in 16 ways, for example, as 21221496976 + 12543298889104 = 145676^2 + 3541652^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620123150 + ... + 620143410.

Almost surely, 2^{12564520386080} is an apocalyptic number.

12564520386080 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 12564520386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056311161968).

12564520386080 is an abundant number, since it is smaller than the sum of its proper divisors (19548101937856).

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

12564520386080 is a wasteful number, since it uses less digits than its factorization.

12564520386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21631 (or 21623 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 12564520386080 in words is "twelve trillion, five hundred sixty-four billion, five hundred twenty million, three hundred eighty-six thousand, eighty".