12882588461568 has 320 divisors, whose sum is σ = 44986827325440. Its totient is φ = 3562005196800.

The previous prime is 12882588461563. The next prime is 12882588461569. The reversal of 12882588461568 is 86516488528821.

12882588461568 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 2 + 58 + 8 + 4 + 6 + 1 + 568 = 666.

It is a super-2 number, since 2×12882588461568² (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 = 12882588461496 and 12882588461505.

It is not an unprimeable number, because it can be changed into a prime (12882588461563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852573 + ... + 5147043.

It is an arithmetic number, because the mean of its divisors is an integer number (140583835392).

Almost surely, 2^{12882588461568} is an apocalyptic number.

12882588461568 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 12882588461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22493413662720).

12882588461568 is an abundant number, since it is smaller than the sum of its proper divisors (32104238863872).

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

12882588461568 is an equidigital number, since it uses as much as digits as its factorization.

12882588461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294536 (or 4294514 counting only the distinct ones).

The product of its digits is 471859200, while the sum is 72.

The spelling of 12882588461568 in words is "twelve trillion, eight hundred eighty-two billion, five hundred eighty-eight million, four hundred sixty-one thousand, five hundred sixty-eight".