12502160038368 has 1536 divisors, whose sum is σ = 52591472640000. Its totient is φ = 2839573739520.

The previous prime is 12502160038343. The next prime is 12502160038369. The reversal of 12502160038368 is 86383006120521.

12502160038368 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 2 + 1 + 600 + 3 + 8 + 36 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12502160038369) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 805180621 + ... + 805196147.

It is an arithmetic number, because the mean of its divisors is an integer number (34239240000).

Almost surely, 2^{12502160038368} is an apocalyptic number.

12502160038368 is a gapful number since it is divisible by the number (18) 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 12502160038368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295736320000).

12502160038368 is an abundant number, since it is smaller than the sum of its proper divisors (40089312601632).

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

12502160038368 is a wasteful number, since it uses less digits than its factorization.

12502160038368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15610 (or 15582 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 12502160038368 its reverse (86383006120521), we get a palindrome (98885166158889).

The spelling of 12502160038368 in words is "twelve trillion, five hundred two billion, one hundred sixty million, thirty-eight thousand, three hundred sixty-eight".