12730556160 has 504 divisors, whose sum is σ = 52277752800. Its totient is φ = 2908348416.

The previous prime is 12730556141. The next prime is 12730556177. The reversal of 12730556160 is 6165503721.

12730556160 is a `hidden beast` number, since 1 + 2 + 7 + 30 + 5 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6530866 + ... + 6532814.

It is an arithmetic number, because the mean of its divisors is an integer number (103725700).

Almost surely, 2^12730556160 is an apocalyptic number.

12730556160 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 12730556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26138876400).

12730556160 is an abundant number, since it is smaller than the sum of its proper divisors (39547196640).

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

12730556160 is an frugal number, since it uses more digits than its factorization.

12730556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12730556160 in words is "twelve billion, seven hundred thirty million, five hundred fifty-six thousand, one hundred sixty".