12866430960 has 640 divisors, whose sum is σ = 49368268800. Its totient is φ = 3065610240.

The previous prime is 12866430937. The next prime is 12866431009. The reversal of 12866430960 is 6903466821.

12866430960 is a `hidden beast` number, since 1 + 286 + 6 + 4 + 309 + 60 = 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 127 ways as a sum of consecutive naturals, for example, 101310417 + ... + 101310543.

It is an arithmetic number, because the mean of its divisors is an integer number (77137920).

Almost surely, 2^12866430960 is an apocalyptic number.

12866430960 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 12866430960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684134400).

12866430960 is an abundant number, since it is smaller than the sum of its proper divisors (36501837840).

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

12866430960 is a wasteful number, since it uses less digits than its factorization.

12866430960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12866430960 in words is "twelve billion, eight hundred sixty-six million, four hundred thirty thousand, nine hundred sixty".