12830234487840 has 4032 divisors, whose sum is σ = 63482665559040. Its totient is φ = 2410719252480.

The previous prime is 12830234487809. The next prime is 12830234487857. The reversal of 12830234487840 is 4878443203821.

12830234487840 is a `hidden beast` number, since 1 + 2 + 83 + 0 + 2 + 3 + 4 + 487 + 84 + 0 = 666.

It is a super-2 number, since 2×12830234487840² (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 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 671 ways as a sum of consecutive naturals, for example, 27473735287 + ... + 27473735753.

It is an arithmetic number, because the mean of its divisors is an integer number (15744708720).

Almost surely, 2^{12830234487840} is an apocalyptic number.

12830234487840 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 12830234487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31741332779520).

12830234487840 is an abundant number, since it is smaller than the sum of its proper divisors (50652431071200).

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

12830234487840 is a wasteful number, since it uses less digits than its factorization.

12830234487840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 12830234487840 in words is "twelve trillion, eight hundred thirty billion, two hundred thirty-four million, four hundred eighty-seven thousand, eight hundred forty".