12864529402002 has 128 divisors (see below), whose sum is σ = 29988895680000. Its totient is φ = 4133371866624.

The previous prime is 12864529401959. The next prime is 12864529402009. The reversal of 12864529402002 is 20020492546821.

12864529402002 is a `hidden beast` number, since 1 + 2 + 8 + 64 + 529 + 40 + 20 + 0 + 2 = 666.

It is a super-2 number, since 2×12864529402002² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12864529402009) by changing a digit.

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, 75896098 + ... + 76065410.

It is an arithmetic number, because the mean of its divisors is an integer number (234288247500).

Almost surely, 2^{12864529402002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12864529402002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14994447840000).

12864529402002 is an abundant number, since it is smaller than the sum of its proper divisors (17124366277998).

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

12864529402002 is an equidigital number, since it uses as much as digits as its factorization.

12864529402002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169964 (or 169946 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12864529402002 in words is "twelve trillion, eight hundred sixty-four billion, five hundred twenty-nine million, four hundred two thousand, two".