12577810672 has 80 divisors (see below), whose sum is σ = 29512753920. Its totient is φ = 5069343744.

The previous prime is 12577810643. The next prime is 12577810681. The reversal of 12577810672 is 27601877521.

12577810672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3857779 + ... + 3861037.

It is an arithmetic number, because the mean of its divisors is an integer number (368909424).

Almost surely, 2^12577810672 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 12577810672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756376960).

12577810672 is an abundant number, since it is smaller than the sum of its proper divisors (16934943248).

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

12577810672 is a wasteful number, since it uses less digits than its factorization.

12577810672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 12577810672 in words is "twelve billion, five hundred seventy-seven million, eight hundred ten thousand, six hundred seventy-two".