12830288961528 has 128 divisors (see below), whose sum is σ = 36101504640000. Its totient is φ = 4221377462016.

The previous prime is 12830288961527. The next prime is 12830288961563. The reversal of 12830288961528 is 82516988203821.

12830288961528 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 0 + 2 + 8 + 8 + 9 + 615 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12830288961521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58471203 + ... + 58690221.

It is an arithmetic number, because the mean of its divisors is an integer number (282043005000).

Almost surely, 2^{12830288961528} is an apocalyptic number.

12830288961528 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 12830288961528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050752320000).

12830288961528 is an abundant number, since it is smaller than the sum of its proper divisors (23271215678472).

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

12830288961528 is a wasteful number, since it uses less digits than its factorization.

12830288961528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222546 (or 222536 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 12830288961528 in words is "twelve trillion, eight hundred thirty billion, two hundred eighty-eight million, nine hundred sixty-one thousand, five hundred twenty-eight".