12577608576 has 384 divisors, whose sum is σ = 41702169600. Its totient is φ = 3604414464.

The previous prime is 12577608553. The next prime is 12577608577. The reversal of 12577608576 is 67580677521.

It is a happy number.

12577608576 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 7 + 60 + 8 + 576 = 666.

12577608576 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 (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12577608577) 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 47 ways as a sum of consecutive naturals, for example, 32332990 + ... + 32333378.

It is an arithmetic number, because the mean of its divisors is an integer number (108599400).

Almost surely, 2^12577608576 is an apocalyptic number.

12577608576 is a gapful number since it is divisible by the number (16) 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 12577608576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20851084800).

12577608576 is an abundant number, since it is smaller than the sum of its proper divisors (29124561024).

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

12577608576 is a wasteful number, since it uses less digits than its factorization.

12577608576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 12577608576 in words is "twelve billion, five hundred seventy-seven million, six hundred eight thousand, five hundred seventy-six".