12801559680 has 768 divisors, whose sum is σ = 56846966400. Its totient is φ = 2698665984.

The previous prime is 12801559651. The next prime is 12801559733. The reversal of 12801559680 is 8695510821.

It is a happy number.

12801559680 is a `hidden beast` number, since 12 + 8 + 0 + 1 + 559 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11006779 + ... + 11007941.

Almost surely, 2^12801559680 is an apocalyptic number.

12801559680 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 12801559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28423483200).

12801559680 is an abundant number, since it is smaller than the sum of its proper divisors (44045406720).

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

12801559680 is a wasteful number, since it uses less digits than its factorization.

12801559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 12801559680 in words is "twelve billion, eight hundred one million, five hundred fifty-nine thousand, six hundred eighty".