12785709980160 has 2400 divisors, whose sum is σ = 53626122887040. Its totient is φ = 2901293531136.

The previous prime is 12785709980081. The next prime is 12785709980167. The reversal of 12785709980160 is 6108990758721.

It is not an unprimeable number, because it can be changed into a prime (12785709980167) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23374241007 + ... + 23374241553.

Almost surely, 2^{12785709980160} is an apocalyptic number.

12785709980160 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 12785709980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26813061443520).

12785709980160 is an abundant number, since it is smaller than the sum of its proper divisors (40840412906880).

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

12785709980160 is a wasteful number, since it uses less digits than its factorization.

12785709980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 12785709980160 in words is "twelve trillion, seven hundred eighty-five billion, seven hundred nine million, nine hundred eighty thousand, one hundred sixty".