12886560000 has 720 divisors, whose sum is σ = 50445102400. Its totient is φ = 3234816000.

The previous prime is 12886559993. The next prime is 12886560023. The reversal of 12886560000 is 6568821.

It is a happy number.

12886560000 is a `hidden beast` number, since 12 + 8 + 86 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82079922 + ... + 82080078.

Almost surely, 2^12886560000 is an apocalyptic number.

12886560000 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 12886560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222551200).

12886560000 is an abundant number, since it is smaller than the sum of its proper divisors (37558542400).

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

12886560000 is an equidigital number, since it uses as much as digits as its factorization.

12886560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12886560000 in words is "twelve billion, eight hundred eighty-six million, five hundred sixty thousand".