12988029019680 has 2880 divisors, whose sum is σ = 60384917577600. Its totient is φ = 2589923082240.

The previous prime is 12988029019673. The next prime is 12988029019687. The reversal of 12988029019680 is 8691092088921.

12988029019680 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 80 + 290 + 196 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12988029019673) and next prime (12988029019687).

It is not an unprimeable number, because it can be changed into a prime (12988029019687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7781921886 + ... + 7781923554.

It is an arithmetic number, because the mean of its divisors is an integer number (20966985270).

Almost surely, 2^{12988029019680} is an apocalyptic number.

12988029019680 is a gapful number since it is divisible by the number (10) 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 12988029019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30192458788800).

12988029019680 is an abundant number, since it is smaller than the sum of its proper divisors (47396888557920).

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

12988029019680 is a wasteful number, since it uses less digits than its factorization.

12988029019680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 12988029019680 in words is "twelve trillion, nine hundred eighty-eight billion, twenty-nine million, nineteen thousand, six hundred eighty".