12627868431360 has 3168 divisors, whose sum is σ = 56058789588480. Its totient is φ = 2396006645760.

The previous prime is 12627868431359. The next prime is 12627868431389. The reversal of 12627868431360 is 6313486872621.

It is a happy number.

It is a super-2 number, since 2×12627868431360² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12627868431360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 159846435801 + ... + 159846435879.

Almost surely, 2^{12627868431360} is an apocalyptic number.

12627868431360 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 12627868431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029394794240).

12627868431360 is an abundant number, since it is smaller than the sum of its proper divisors (43430921157120).

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

12627868431360 is a wasteful number, since it uses less digits than its factorization.

12627868431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 12627868431360 in words is "twelve trillion, six hundred twenty-seven billion, eight hundred sixty-eight million, four hundred thirty-one thousand, three hundred sixty".