12677088428928 has 512 divisors, whose sum is σ = 46672588800000. Its totient is φ = 3290964940800.

The previous prime is 12677088428899. The next prime is 12677088428929. The reversal of 12677088428928 is 82982488077621.

12677088428928 is a `hidden beast` number, since 1 + 267 + 7 + 0 + 8 + 84 + 289 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12677088428929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531945973 + ... + 531969803.

It is an arithmetic number, because the mean of its divisors is an integer number (91157400000).

Almost surely, 2^{12677088428928} is an apocalyptic number.

12677088428928 is a gapful number since it is divisible by the number (18) 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 12677088428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23336294400000).

12677088428928 is an abundant number, since it is smaller than the sum of its proper divisors (33995500371072).

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

12677088428928 is a wasteful number, since it uses less digits than its factorization.

12677088428928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25871 (or 25853 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 12677088428928 in words is "twelve trillion, six hundred seventy-seven billion, eighty-eight million, four hundred twenty-eight thousand, nine hundred twenty-eight".