12727800960 has 384 divisors, whose sum is σ = 48014337600. Its totient is φ = 2858655744.

The previous prime is 12727800947. The next prime is 12727800983. The reversal of 12727800960 is 6900872721.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5549574 + ... + 5551866.

Almost surely, 2^12727800960 is an apocalyptic number.

12727800960 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 12727800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24007168800).

12727800960 is an abundant number, since it is smaller than the sum of its proper divisors (35286536640).

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

12727800960 is a wasteful number, since it uses less digits than its factorization.

12727800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 12727800960 in words is "twelve billion, seven hundred twenty-seven million, eight hundred thousand, nine hundred sixty".