12860616960 has 432 divisors, whose sum is σ = 47669849136. Its totient is φ = 3189768192.

The previous prime is 12860616949. The next prime is 12860617013. The reversal of 12860616960 is 6961606821.

12860616960 is a `hidden beast` number, since 1 + 28 + 6 + 0 + 616 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2001309696 + 10859307264 = 44736^2 + 104208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18996142 + ... + 18996818.

It is an arithmetic number, because the mean of its divisors is an integer number (110346873).

Almost surely, 2^12860616960 is an apocalyptic number.

12860616960 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 12860616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23834924568).

12860616960 is an abundant number, since it is smaller than the sum of its proper divisors (34809232176).

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

12860616960 is a wasteful number, since it uses less digits than its factorization.

12860616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12860616960 in words is "twelve billion, eight hundred sixty million, six hundred sixteen thousand, nine hundred sixty".