12880997498880 has 960 divisors, whose sum is σ = 52991568322560. Its totient is φ = 2943941345280.

The previous prime is 12880997498857. The next prime is 12880997498903. The reversal of 12880997498880 is 8889479908821.

It is an interprime number because it is at equal distance from previous prime (12880997498857) and next prime (12880997498903).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 12880997498880.

It is a congruent number.

It is an unprimeable number.

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, 1254108145 + ... + 1254118415.

It is an arithmetic number, because the mean of its divisors is an integer number (55199550336).

Almost surely, 2^{12880997498880} is an apocalyptic number.

12880997498880 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 12880997498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26495784161280).

12880997498880 is an abundant number, since it is smaller than the sum of its proper divisors (40110570823680).

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

12880997498880 is an frugal number, since it uses more digits than its factorization.

12880997498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 81.

The spelling of 12880997498880 in words is "twelve trillion, eight hundred eighty billion, nine hundred ninety-seven million, four hundred ninety-eight thousand, eight hundred eighty".