12864988987578 has 240 divisors, whose sum is σ = 37089192852096. Its totient is φ = 3245441981760.

The previous prime is 12864988987573. The next prime is 12864988987579. The reversal of 12864988987578 is 87578988946821.

12864988987578 is a `hidden beast` number, since 1 + 28 + 6 + 4 + 9 + 8 + 8 + 9 + 8 + 7 + 578 = 666.

12864988987578 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12864988987573) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6973683 + ... + 8623353.

Almost surely, 2^{12864988987578} is an apocalyptic number.

12864988987578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12864988987578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544596426048).

12864988987578 is an abundant number, since it is smaller than the sum of its proper divisors (24224203864518).

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

12864988987578 is a wasteful number, since it uses less digits than its factorization.

12864988987578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649751 (or 1649719 counting only the distinct ones).

The product of its digits is 31213486080, while the sum is 90.

The spelling of 12864988987578 in words is "twelve trillion, eight hundred sixty-four billion, nine hundred eighty-eight million, nine hundred eighty-seven thousand, five hundred seventy-eight".