12571670136168 has 768 divisors, whose sum is σ = 44114479718400. Its totient is φ = 3175780608000.

The previous prime is 12571670136161. The next prime is 12571670136173. The reversal of 12571670136168 is 86163107617521.

12571670136168 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 1 + 6 + 7 + 0 + 13 + 616 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12571670136161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 406295578 + ... + 406326518.

It is an arithmetic number, because the mean of its divisors is an integer number (57440728800).

Almost surely, 2^{12571670136168} is an apocalyptic number.

12571670136168 is a gapful number since it is divisible by the number (18) 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 12571670136168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22057239859200).

12571670136168 is an abundant number, since it is smaller than the sum of its proper divisors (31542809582232).

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

12571670136168 is a wasteful number, since it uses less digits than its factorization.

12571670136168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31094 (or 31087 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 12571670136168 in words is "twelve trillion, five hundred seventy-one billion, six hundred seventy million, one hundred thirty-six thousand, one hundred sixty-eight".