12086238528 has 448 divisors, whose sum is σ = 44221847040. Its totient is φ = 3151872000.

The previous prime is 12086238511. The next prime is 12086238529. The reversal of 12086238528 is 82583268021.

12086238528 is a `hidden beast` number, since 1 + 20 + 86 + 23 + 8 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12086238529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15881668 + ... + 15882428.

It is an arithmetic number, because the mean of its divisors is an integer number (98709480).

Almost surely, 2^12086238528 is an apocalyptic number.

12086238528 is a gapful number since it is divisible by the number (18) 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 12086238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22110923520).

12086238528 is an abundant number, since it is smaller than the sum of its proper divisors (32135608512).

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

12086238528 is a wasteful number, since it uses less digits than its factorization.

12086238528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12086238528 in words is "twelve billion, eighty-six million, two hundred thirty-eight thousand, five hundred twenty-eight".