12671899359288 has 1024 divisors, whose sum is σ = 39925218816000. Its totient is φ = 3309224067072.

The previous prime is 12671899359269. The next prime is 12671899359307. The reversal of 12671899359288 is 88295399817621.

It is an interprime number because it is at equal distance from previous prime (12671899359269) and next prime (12671899359307).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35897731720 + ... + 35897732072.

It is an arithmetic number, because the mean of its divisors is an integer number (38989471500).

Almost surely, 2^{12671899359288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12671899359288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19962609408000).

12671899359288 is an abundant number, since it is smaller than the sum of its proper divisors (27253319456712).

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

12671899359288 is a wasteful number, since it uses less digits than its factorization.

12671899359288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 78.

The spelling of 12671899359288 in words is "twelve trillion, six hundred seventy-one billion, eight hundred ninety-nine million, three hundred fifty-nine thousand, two hundred eighty-eight".