12309485760 has 1008 divisors, whose sum is σ = 52911829152. Its totient is φ = 2687385600.

The previous prime is 12309485737. The next prime is 12309485807. The reversal of 12309485760 is 6758490321.

12309485760 is a `hidden beast` number, since 1 + 2 + 30 + 9 + 48 + 576 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 300231340 + ... + 300231380.

It is an arithmetic number, because the mean of its divisors is an integer number (52491894).

It is a 1-persistent number, because it is pandigital, but 2⋅12309485760 = 24618971520 is not.

Almost surely, 2^12309485760 is an apocalyptic number.

12309485760 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 12309485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26455914576).

12309485760 is an abundant number, since it is smaller than the sum of its proper divisors (40602343392).

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

12309485760 is an equidigital number, since it uses as much as digits as its factorization.

12309485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

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

The spelling of 12309485760 in words is "twelve billion, three hundred nine million, four hundred eighty-five thousand, seven hundred sixty".