12802809881680 has 240 divisors, whose sum is σ = 37350865422864. Its totient is φ = 4045258506240.

The previous prime is 12802809881651. The next prime is 12802809881753. The reversal of 12802809881680 is 8618890820821.

12802809881680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4996798563904 + 7806011317776 = 2235352^2 + 2793924^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31033560 + ... + 31443400.

Almost surely, 2^{12802809881680} is an apocalyptic number.

12802809881680 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 12802809881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675432711432).

12802809881680 is an abundant number, since it is smaller than the sum of its proper divisors (24548055541184).

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

12802809881680 is a wasteful number, since it uses less digits than its factorization.

12802809881680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410494 (or 410481 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 61.

The spelling of 12802809881680 in words is "twelve trillion, eight hundred two billion, eight hundred nine million, eight hundred eighty-one thousand, six hundred eighty".