12507188559360 has 1280 divisors, whose sum is σ = 47571263815680. Its totient is φ = 2769082122240.

The previous prime is 12507188559319. The next prime is 12507188559361. The reversal of 12507188559360 is 6395588170521.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12507188559294 and 12507188559303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12507188559361) 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 127 ways as a sum of consecutive naturals, for example, 8572438311 + ... + 8572439769.

It is an arithmetic number, because the mean of its divisors is an integer number (37165049856).

Almost surely, 2^{12507188559360} is an apocalyptic number.

12507188559360 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 12507188559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23785631907840).

12507188559360 is an abundant number, since it is smaller than the sum of its proper divisors (35064075256320).

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

12507188559360 is a wasteful number, since it uses less digits than its factorization.

12507188559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 60.

The spelling of 12507188559360 in words is "twelve trillion, five hundred seven billion, one hundred eighty-eight million, five hundred fifty-nine thousand, three hundred sixty".