12730015584 has 576 divisors, whose sum is σ = 44910028800. Its totient is φ = 3387571200.

The previous prime is 12730015577. The next prime is 12730015591. The reversal of 12730015584 is 48551003721.

12730015584 is a `hidden beast` number, since 1 + 2 + 73 + 0 + 0 + 1 + 5 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (12730015577) and next prime (12730015591).

It is a super-2 number, since 2×12730015584² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 215762947 + ... + 215763005.

It is an arithmetic number, because the mean of its divisors is an integer number (77968800).

Almost surely, 2^12730015584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12730015584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455014400).

12730015584 is an abundant number, since it is smaller than the sum of its proper divisors (32180013216).

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

12730015584 is a wasteful number, since it uses less digits than its factorization.

12730015584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

It can be divided in two parts, 127300 and 15584, that added together give a square (142884 = 378²).

The spelling of 12730015584 in words is "twelve billion, seven hundred thirty million, fifteen thousand, five hundred eighty-four".