12830458320 has 280 divisors, whose sum is σ = 47083816800. Its totient is φ = 3241099008.

The previous prime is 12830458309. The next prime is 12830458321. The reversal of 12830458320 is 2385403821.

12830458320 is a `hidden beast` number, since 1 + 28 + 30 + 4 + 583 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12830458321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1102291 + ... + 1113869.

Almost surely, 2^12830458320 is an apocalyptic number.

12830458320 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 12830458320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23541908400).

12830458320 is an abundant number, since it is smaller than the sum of its proper divisors (34253358480).

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

12830458320 is a wasteful number, since it uses less digits than its factorization.

12830458320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11608 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 128304 and 58320, that added together give a square (186624 = 432²).

The spelling of 12830458320 in words is "twelve billion, eight hundred thirty million, four hundred fifty-eight thousand, three hundred twenty".