12869475089328 has 240 divisors, whose sum is σ = 42469430115840. Its totient is φ = 3586568025600.

The previous prime is 12869475089323. The next prime is 12869475089369. The reversal of 12869475089328 is 82398057496821.

12869475089328 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 9 + 4 + 7 + 508 + 93 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12869475089323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4427343 + ... + 6733521.

It is an arithmetic number, because the mean of its divisors is an integer number (176955958816).

It is a 1-persistent number, because it is pandigital, but 2⋅12869475089328 = 25738950178656 is not.

Almost surely, 2^{12869475089328} is an apocalyptic number.

12869475089328 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 12869475089328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234715057920).

12869475089328 is an abundant number, since it is smaller than the sum of its proper divisors (29599955026512).

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

12869475089328 is a wasteful number, since it uses less digits than its factorization.

12869475089328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306488 (or 2306479 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 12869475089328 in words is "twelve trillion, eight hundred sixty-nine billion, four hundred seventy-five million, eighty-nine thousand, three hundred twenty-eight".