12789435648000 has 3072 divisors, whose sum is σ = 53427838464000. Its totient is φ = 2675441664000.

The previous prime is 12789435647959. The next prime is 12789435648037. The reversal of 12789435648000 is 84653498721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 117334271946 + ... + 117334272054.

It is an arithmetic number, because the mean of its divisors is an integer number (17391874500).

It is a 1-persistent number, because it is pandigital, but 2⋅12789435648000 = 25578871296000 is not.

Almost surely, 2^{12789435648000} is an apocalyptic number.

12789435648000 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 12789435648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26713919232000).

12789435648000 is an abundant number, since it is smaller than the sum of its proper divisors (40638402816000).

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

12789435648000 is a wasteful number, since it uses less digits than its factorization.

12789435648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 12789435648000 in words is "twelve trillion, seven hundred eighty-nine billion, four hundred thirty-five million, six hundred forty-eight thousand".