12830866172280 has 512 divisors, whose sum is σ = 46453575168000. Its totient is φ = 3131462799360.

The previous prime is 12830866172279. The next prime is 12830866172291. The reversal of 12830866172280 is 8227166803821.

12830866172280 is a `hidden beast` number, since 1 + 283 + 0 + 86 + 6 + 1 + 7 + 2 + 280 = 666.

It is a super-2 number, since 2×12830866172280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 781837275 + ... + 781853685.

It is an arithmetic number, because the mean of its divisors is an integer number (90729639000).

Almost surely, 2^{12830866172280} is an apocalyptic number.

12830866172280 is a gapful number since it is divisible by the number (10) 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 12830866172280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23226787584000).

12830866172280 is an abundant number, since it is smaller than the sum of its proper divisors (33622708995720).

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

12830866172280 is a wasteful number, since it uses less digits than its factorization.

12830866172280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16916 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12830866172280 in words is "twelve trillion, eight hundred thirty billion, eight hundred sixty-six million, one hundred seventy-two thousand, two hundred eighty".