12627091391616 has 192 divisors, whose sum is σ = 39194693548920. Its totient is φ = 3878917963776.

The previous prime is 12627091391557. The next prime is 12627091391623. The reversal of 12627091391616 is 61619319072621.

12627091391616 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 7 + 0 + 9 + 13 + 9 + 1 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3216283560000 + 9410807831616 = 1793400^2 + 3067704^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8492560 + ... + 9868016.

Almost surely, 2^{12627091391616} is an apocalyptic number.

12627091391616 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 12627091391616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19597346774460).

12627091391616 is an abundant number, since it is smaller than the sum of its proper divisors (26567602157304).

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

12627091391616 is a wasteful number, since it uses less digits than its factorization.

12627091391616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376103 (or 1376088 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 12627091391616 in words is "twelve trillion, six hundred twenty-seven billion, ninety-one million, three hundred ninety-one thousand, six hundred sixteen".