12360418560 has 648 divisors, whose sum is σ = 51654054816. Its totient is φ = 2821754880.

The previous prime is 12360418537. The next prime is 12360418561. The reversal of 12360418560 is 6581406321.

It is a happy number.

12360418560 is a `hidden beast` number, since 1 + 23 + 60 + 4 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12360418561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240555 + ... + 15241365.

Almost surely, 2^12360418560 is an apocalyptic number.

12360418560 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 12360418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25827027408).

12360418560 is an abundant number, since it is smaller than the sum of its proper divisors (39293636256).

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

12360418560 is an frugal number, since it uses more digits than its factorization.

12360418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12360418560 in words is "twelve billion, three hundred sixty million, four hundred eighteen thousand, five hundred sixty".