12489788338560 has 2304 divisors, whose sum is σ = 52421992983360. Its totient is φ = 2817240072192.

The previous prime is 12489788338513. The next prime is 12489788338669. The reversal of 12489788338560 is 6583388798421.

12489788338560 is a `hidden beast` number, since 1 + 2 + 48 + 9 + 78 + 83 + 385 + 60 = 666.

It is a super-3 number, since 3×12489788338560³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39903476964 + ... + 39903477276.

It is a 1-persistent number, because it is pandigital, but 2⋅12489788338560 = 24979576677120 is not.

Almost surely, 2^{12489788338560} is an apocalyptic number.

12489788338560 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 12489788338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26210996491680).

12489788338560 is an abundant number, since it is smaller than the sum of its proper divisors (39932204644800).

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

12489788338560 is an equidigital number, since it uses as much as digits as its factorization.

12489788338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 12489788338560 in words is "twelve trillion, four hundred eighty-nine billion, seven hundred eighty-eight million, three hundred thirty-eight thousand, five hundred sixty".