12860859350430 has 768 divisors, whose sum is σ = 42887445719040. Its totient is φ = 2685181943808.

The previous prime is 12860859350387. The next prime is 12860859350447. The reversal of 12860859350430 is 3405395806821.

12860859350430 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 0 + 8 + 593 + 5 + 0 + 43 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17545510344 + ... + 17545511076.

It is an arithmetic number, because the mean of its divisors is an integer number (55843028280).

Almost surely, 2^{12860859350430} is an apocalyptic number.

12860859350430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12860859350430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21443722859520).

12860859350430 is an abundant number, since it is smaller than the sum of its proper divisors (30026586368610).

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

12860859350430 is a wasteful number, since it uses less digits than its factorization.

12860859350430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12860859350430 in words is "twelve trillion, eight hundred sixty billion, eight hundred fifty-nine million, three hundred fifty thousand, four hundred thirty".