12594728160 has 144 divisors (see below), whose sum is σ = 49119479136. Its totient is φ = 2878792704.

The previous prime is 12594728147. The next prime is 12594728191. The reversal of 12594728160 is 6182749521.

12594728160 is a `hidden beast` number, since 12 + 5 + 9 + 472 + 8 + 160 = 666.

12594728160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614659 + ... + 634818.

It is an arithmetic number, because the mean of its divisors is an integer number (341107494).

Almost surely, 2^12594728160 is an apocalyptic number.

12594728160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12594728160 is an abundant number, since it is smaller than the sum of its proper divisors (36524750976).

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

12594728160 is a wasteful number, since it uses less digits than its factorization.

12594728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249505 (or 1249494 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12594728160 in words is "twelve billion, five hundred ninety-four million, seven hundred twenty-eight thousand, one hundred sixty".