12356530560 has 768 divisors, whose sum is σ = 50042603520. Its totient is φ = 2886451200.

The previous prime is 12356530559. The next prime is 12356530579. The reversal of 12356530560 is 6503565321.

12356530560 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 65 + 30 + 560 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53032204 + ... + 53032436.

It is an arithmetic number, because the mean of its divisors is an integer number (65159640).

Almost surely, 2^12356530560 is an apocalyptic number.

12356530560 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 12356530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021301760).

12356530560 is an abundant number, since it is smaller than the sum of its proper divisors (37686072960).

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

12356530560 is a wasteful number, since it uses less digits than its factorization.

12356530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 12356530560 in words is "twelve billion, three hundred fifty-six million, five hundred thirty thousand, five hundred sixty".