12860510400 has 336 divisors, whose sum is σ = 47070772000. Its totient is φ = 3415633920.

The previous prime is 12860510371. The next prime is 12860510461. The reversal of 12860510400 is 401506821.

12860510400 is a `hidden beast` number, since 1 + 2 + 8 + 605 + 10 + 40 + 0 = 666.

12860510400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15076374 + ... + 15077226.

Almost surely, 2^12860510400 is an apocalyptic number.

12860510400 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 12860510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23535386000).

12860510400 is an abundant number, since it is smaller than the sum of its proper divisors (34210261600).

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

12860510400 is a wasteful number, since it uses less digits than its factorization.

12860510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12860510400 in words is "twelve billion, eight hundred sixty million, five hundred ten thousand, four hundred".