19995125760 has 432 divisors, whose sum is σ = 73260516420. Its totient is φ = 5042995200.

The previous prime is 19995125753. The next prime is 19995125791. The reversal of 19995125760 is 6752159991.

19995125760 is a `hidden beast` number, since 19 + 9 + 9 + 51 + 2 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19725640704 + 269485056 = 140448^2 + 16416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19995125697 and 19995125706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33269460 + ... + 33270060.

Almost surely, 2^19995125760 is an apocalyptic number.

19995125760 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 19995125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36630258210).

19995125760 is an abundant number, since it is smaller than the sum of its proper divisors (53265390660).

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

19995125760 is a wasteful number, since it uses less digits than its factorization.

19995125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 19995125760 in words is "nineteen billion, nine hundred ninety-five million, one hundred twenty-five thousand, seven hundred sixty".