19825683010560 has 2112 divisors, whose sum is σ = 85835583235584. Its totient is φ = 4127824281600.

The previous prime is 19825683010541. The next prime is 19825683010597. The reversal of 19825683010560 is 6501038652891.

19825683010560 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 5 + 68 + 3 + 0 + 10 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19825683010497 and 19825683010506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36646363890 + ... + 36646364430.

Almost surely, 2^{19825683010560} is an apocalyptic number.

19825683010560 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 19825683010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42917791617792).

19825683010560 is an abundant number, since it is smaller than the sum of its proper divisors (66009900225024).

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

19825683010560 is a wasteful number, since it uses less digits than its factorization.

19825683010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 19825683010560 in words is "nineteen trillion, eight hundred twenty-five billion, six hundred eighty-three million, ten thousand, five hundred sixty".