12502367360406 has 504 divisors, whose sum is σ = 36017595667872. Its totient is φ = 3241433764800.

The previous prime is 12502367360401. The next prime is 12502367360419. The reversal of 12502367360406 is 60406376320521.

12502367360406 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 2 + 36 + 7 + 3 + 604 + 0 + 6 = 666.

It is a super-2 number, since 2×12502367360406² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12502367360401) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 6682183651 + ... + 6682185521.

It is an arithmetic number, because the mean of its divisors is an integer number (71463483468).

Almost surely, 2^{12502367360406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12502367360406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008797833936).

12502367360406 is an abundant number, since it is smaller than the sum of its proper divisors (23515228307466).

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

12502367360406 is a wasteful number, since it uses less digits than its factorization.

12502367360406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 12502367360406 in words is "twelve trillion, five hundred two billion, three hundred sixty-seven million, three hundred sixty thousand, four hundred six".