19955125200 has 240 divisors, whose sum is σ = 65498254272. Its totient is φ = 5191680000.

The previous prime is 19955125153. The next prime is 19955125237. The reversal of 19955125200 is 252155991.

19955125200 is a nontrivial binomial coefficient, being equal to C(199776, 2).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9588160 + ... + 9590240.

Almost surely, 2^19955125200 is an apocalyptic number.

19955125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19955125200 is the 199775-th triangular number and also the 99888-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19955125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749127136).

19955125200 is an abundant number, since it is smaller than the sum of its proper divisors (45543129072).

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

19955125200 is a wasteful number, since it uses less digits than its factorization.

19955125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 39.

The spelling of 19955125200 in words is "nineteen billion, nine hundred fifty-five million, one hundred twenty-five thousand, two hundred".