12859673400 has 480 divisors, whose sum is σ = 51450516480. Its totient is φ = 2916000000.

The previous prime is 12859673383. The next prime is 12859673447. The reversal of 12859673400 is 437695821.

12859673400 is a `hidden beast` number, since 1 + 28 + 596 + 7 + 34 + 0 + 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17123025 + ... + 17123775.

It is an arithmetic number, because the mean of its divisors is an integer number (107188576).

It is a 2-persistent number, because it is pandigital, and so is 2⋅12859673400 = 25719346800, but 3⋅12859673400 = 38579020200 is not.

Almost surely, 2^12859673400 is an apocalyptic number.

12859673400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 113400×113401.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12859673400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25725258240).

12859673400 is an abundant number, since it is smaller than the sum of its proper divisors (38590843080).

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

12859673400 is a wasteful number, since it uses less digits than its factorization.

12859673400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12859673400 in words is "twelve billion, eight hundred fifty-nine million, six hundred seventy-three thousand, four hundred".