12515632609536 has 243 divisors, whose sum is σ = 41981176849521. Its totient is φ = 3575555407872.

The previous prime is 12515632609523. The next prime is 12515632609537. The reversal of 12515632609536 is 63590623651521.

The square root of 12515632609536 is 3537744.

It is a perfect power (a square), and thus also a powerful number.

12515632609536 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 563 + 26 + 0 + 9 + 53 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10126753249536 + 2388879360000 = 3182256^2 + 1545600^2 .

It is not an unprimeable number, because it can be changed into a prime (12515632609537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1188676720 + ... + 1188687248.

Almost surely, 2^{12515632609536} is an apocalyptic number.

12515632609536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12515632609536 is the 3537744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12515632609536

12515632609536 is an abundant number, since it is smaller than the sum of its proper divisors (29465544239985).

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

12515632609536 is an frugal number, since it uses more digits than its factorization.

12515632609536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21094 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 12515632609536 in words is "twelve trillion, five hundred fifteen billion, six hundred thirty-two million, six hundred nine thousand, five hundred thirty-six".