12626709655680 has 192 divisors, whose sum is σ = 43612799181120. Its totient is φ = 3366258247680.

The previous prime is 12626709655657. The next prime is 12626709655723. The reversal of 12626709655680 is 8655690762621.

It is a happy number.

12626709655680 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 6 + 7 + 0 + 9 + 65 + 568 + 0 = 666.

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, 22317085 + ... + 22875875.

It is an arithmetic number, because the mean of its divisors is an integer number (227149995735).

Almost surely, 2^{12626709655680} is an apocalyptic number.

12626709655680 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 12626709655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21806399590560).

12626709655680 is an abundant number, since it is smaller than the sum of its proper divisors (30986089525440).

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

12626709655680 is a wasteful number, since it uses less digits than its factorization.

12626709655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562739 (or 562724 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 12626709655680 in words is "twelve trillion, six hundred twenty-six billion, seven hundred nine million, six hundred fifty-five thousand, six hundred eighty".