12800766048 has 96 divisors (see below), whose sum is σ = 38833966080. Its totient is φ = 3616250880.

The previous prime is 12800766037. The next prime is 12800766049. The reversal of 12800766048 is 84066700821.

12800766048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12800766048² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800766049) 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 15 ways as a sum of consecutive naturals, for example, 47208 + ... + 166823.

It is an arithmetic number, because the mean of its divisors is an integer number (404520480).

Almost surely, 2^12800766048 is an apocalyptic number.

It is an amenable number.

12800766048 is an abundant number, since it is smaller than the sum of its proper divisors (26033200032).

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

12800766048 is a wasteful number, since it uses less digits than its factorization.

12800766048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214140 (or 214132 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 12800766048 in words is "twelve billion, eight hundred million, seven hundred sixty-six thousand, forty-eight".