12861777024 has 128 divisors (see below), whose sum is σ = 38251224000. Its totient is φ = 4254382080.

The previous prime is 12861777001. The next prime is 12861777059. The reversal of 12861777024 is 42077716821.

12861777024 is a `hidden beast` number, since 1 + 2 + 8 + 617 + 7 + 7 + 0 + 24 = 666.

12861777024 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 (128).

It is an unprimeable number.

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, 438532 + ... + 466940.

Almost surely, 2^12861777024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12861777024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19125612000).

12861777024 is an abundant number, since it is smaller than the sum of its proper divisors (25389446976).

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

12861777024 is a wasteful number, since it uses less digits than its factorization.

12861777024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28563 (or 28545 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 12861777024 in words is "twelve billion, eight hundred sixty-one million, seven hundred seventy-seven thousand, twenty-four".