12502682027136 has 576 divisors, whose sum is σ = 43234113312000. Its totient is φ = 3454373744640.

The previous prime is 12502682027119. The next prime is 12502682027179. The reversal of 12502682027136 is 63172028620521.

12502682027136 is a `hidden beast` number, since 1 + 2 + 50 + 268 + 202 + 7 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 12502682027091 and 12502682027100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4460463111 + ... + 4460465913.

It is an arithmetic number, because the mean of its divisors is an integer number (75059224500).

Almost surely, 2^{12502682027136} is an apocalyptic number.

12502682027136 is a gapful number since it is divisible by the number (16) 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 12502682027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21617056656000).

12502682027136 is an abundant number, since it is smaller than the sum of its proper divisors (30731431284864).

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

12502682027136 is a wasteful number, since it uses less digits than its factorization.

12502682027136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12502682027136 in words is "twelve trillion, five hundred two billion, six hundred eighty-two million, twenty-seven thousand, one hundred thirty-six".