12815859420 has 768 divisors, whose sum is σ = 52022476800. Its totient is φ = 2546795520.

The previous prime is 12815859401. The next prime is 12815859431. The reversal of 12815859420 is 2495851821.

12815859420 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 58 + 594 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71596891 + ... + 71597069.

It is an arithmetic number, because the mean of its divisors is an integer number (67737600).

Almost surely, 2^12815859420 is an apocalyptic number.

12815859420 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 12815859420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26011238400).

12815859420 is an abundant number, since it is smaller than the sum of its proper divisors (39206617380).

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

12815859420 is a wasteful number, since it uses less digits than its factorization.

12815859420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

It can be divided in two parts, 128158 and 59420, that added together give a triangular number (187578 = T₆₁₂).

The spelling of 12815859420 in words is "twelve billion, eight hundred fifteen million, eight hundred fifty-nine thousand, four hundred twenty".