12390485760 has 360 divisors, whose sum is σ = 44732007936. Its totient is φ = 3274629120.

The previous prime is 12390485753. The next prime is 12390485761. The reversal of 12390485760 is 6758409321.

12390485760 is a `hidden beast` number, since 1 + 2 + 39 + 0 + 48 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12390485761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13166890 + ... + 13167830.

It is a 1-persistent number, because it is pandigital, but 2⋅12390485760 = 24780971520 is not.

Almost surely, 2^12390485760 is an apocalyptic number.

12390485760 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 12390485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22366003968).

12390485760 is an abundant number, since it is smaller than the sum of its proper divisors (32341522176).

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

12390485760 is an equidigital number, since it uses as much as digits as its factorization.

12390485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12390485760 in words is "twelve billion, three hundred ninety million, four hundred eighty-five thousand, seven hundred sixty".