12869270419968 has 640 divisors, whose sum is σ = 39295369935360. Its totient is φ = 4209090822144.

The previous prime is 12869270419897. The next prime is 12869270419979. The reversal of 12869270419968 is 86991407296821.

12869270419968 is a `hidden beast` number, since 1 + 2 + 86 + 9 + 2 + 70 + 419 + 9 + 68 = 666.

It is a super-2 number, since 2×12869270419968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12869270419896 and 12869270419905.

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 63 ways as a sum of consecutive naturals, for example, 25585030405 + ... + 25585030907.

It is an arithmetic number, because the mean of its divisors is an integer number (61399015524).

Almost surely, 2^{12869270419968} is an apocalyptic number.

12869270419968 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 12869270419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19647684967680).

12869270419968 is an abundant number, since it is smaller than the sum of its proper divisors (26426099515392).

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

12869270419968 is an frugal number, since it uses more digits than its factorization.

12869270419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 12869270419968 in words is "twelve trillion, eight hundred sixty-nine billion, two hundred seventy million, four hundred nineteen thousand, nine hundred sixty-eight".