12927050640 has 720 divisors, whose sum is σ = 53586748800. Its totient is φ = 2778918912.

The previous prime is 12927050629. The next prime is 12927050677. The reversal of 12927050640 is 4605072921.

12927050640 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 7 + 0 + 5 + 0 + 640 = 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 junction number, because it is equal to n+sod(n) for n = 12927050595 and 12927050604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72218071 + ... + 72218249.

It is an arithmetic number, because the mean of its divisors is an integer number (74426040).

Almost surely, 2^12927050640 is an apocalyptic number.

12927050640 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 12927050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26793374400).

12927050640 is an abundant number, since it is smaller than the sum of its proper divisors (40659698160).

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

12927050640 is a wasteful number, since it uses less digits than its factorization.

12927050640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12927050640 in words is "twelve billion, nine hundred twenty-seven million, fifty thousand, six hundred forty".