19925379716112 has 120 divisors (see below), whose sum is σ = 60079360013400. Its totient is φ = 6128182738944.

The previous prime is 19925379716111. The next prime is 19925379716117. The reversal of 19925379716112 is 21161797352991.

19925379716112 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 5 + 3 + 7 + 9 + 7 + 1 + 611 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4275317123856 + 15650062592256 = 2067684^2 + 3956016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19925379716112.

It is not an unprimeable number, because it can be changed into a prime (19925379716111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1902064 + ... + 6593072.

It is an arithmetic number, because the mean of its divisors is an integer number (500661333445).

Almost surely, 2^{19925379716112} is an apocalyptic number.

19925379716112 is a gapful number since it is divisible by the number (12) 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 19925379716112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30039680006700).

19925379716112 is an abundant number, since it is smaller than the sum of its proper divisors (40153980297288).

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

19925379716112 is a wasteful number, since it uses less digits than its factorization.

19925379716112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693305 (or 4693296 counting only the distinct ones).

The product of its digits is 12859560, while the sum is 63.

The spelling of 19925379716112 in words is "nineteen trillion, nine hundred twenty-five billion, three hundred seventy-nine million, seven hundred sixteen thousand, one hundred twelve".