12385988536320 has 2688 divisors, whose sum is σ = 54944061419520. Its totient is φ = 2614288711680.

The previous prime is 12385988536319. The next prime is 12385988536349. The reversal of 12385988536320 is 2363588958321.

12385988536320 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 5 + 98 + 8 + 536 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 64848107425 + ... + 64848107615.

It is an arithmetic number, because the mean of its divisors is an integer number (20440499040).

Almost surely, 2^{12385988536320} is an apocalyptic number.

12385988536320 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 12385988536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27472030709760).

12385988536320 is an abundant number, since it is smaller than the sum of its proper divisors (42558072883200).

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

12385988536320 is an equidigital number, since it uses as much as digits as its factorization.

12385988536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 12385988536320 in words is "twelve trillion, three hundred eighty-five billion, nine hundred eighty-eight million, five hundred thirty-six thousand, three hundred twenty".