12577271616 has 672 divisors, whose sum is σ = 47618538240. Its totient is φ = 3081535488.

The previous prime is 12577271593. The next prime is 12577271633. The reversal of 12577271616 is 61617277521.

12577271616 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 7 + 27 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×12577271616² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72700906 + ... + 72701078.

It is an arithmetic number, because the mean of its divisors is an integer number (70860920).

Almost surely, 2^12577271616 is an apocalyptic number.

12577271616 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 12577271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809269120).

12577271616 is an abundant number, since it is smaller than the sum of its proper divisors (35041266624).

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

12577271616 is a wasteful number, since it uses less digits than its factorization.

12577271616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 12577271616 in words is "twelve billion, five hundred seventy-seven million, two hundred seventy-one thousand, six hundred sixteen".