12785569920 has 192 divisors, whose sum is σ = 44209503000. Its totient is φ = 3404906496.

The previous prime is 12785569883. The next prime is 12785569931. The reversal of 12785569920 is 2996558721.

12785569920 is a `hidden beast` number, since 1 + 2 + 78 + 5 + 569 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11146291776 + 1639278144 = 105576^2 + 40488^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8253306 + ... + 8254854.

Almost surely, 2^12785569920 is an apocalyptic number.

12785569920 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 12785569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22104751500).

12785569920 is an abundant number, since it is smaller than the sum of its proper divisors (31423933080).

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

12785569920 is a wasteful number, since it uses less digits than its factorization.

12785569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 12785569920 in words is "twelve billion, seven hundred eighty-five million, five hundred sixty-nine thousand, nine hundred twenty".