12789751680 has 384 divisors, whose sum is σ = 47688264000. Its totient is φ = 3148873728.

The previous prime is 12789751679. The next prime is 12789751757. The reversal of 12789751680 is 8615798721.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×12789751680³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3840256 + ... + 3843584.

Almost surely, 2^12789751680 is an apocalyptic number.

12789751680 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 12789751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844132000).

12789751680 is an abundant number, since it is smaller than the sum of its proper divisors (34898512320).

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

12789751680 is a wasteful number, since it uses less digits than its factorization.

12789751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 12789751680 in words is "twelve billion, seven hundred eighty-nine million, seven hundred fifty-one thousand, six hundred eighty".