19952125200 has 720 divisors, whose sum is σ = 83717399680. Its totient is φ = 4420915200.

The previous prime is 19952125189. The next prime is 19952125223. The reversal of 19952125200 is 252125991.

It is a happy number.

19952125200 is a `hidden beast` number, since 1 + 99 + 521 + 25 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127083522 + ... + 127083678.

Almost surely, 2^19952125200 is an apocalyptic number.

19952125200 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 19952125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41858699840).

19952125200 is an abundant number, since it is smaller than the sum of its proper divisors (63765274480).

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

19952125200 is a wasteful number, since it uses less digits than its factorization.

19952125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 19952125200 in words is "nineteen billion, nine hundred fifty-two million, one hundred twenty-five thousand, two hundred".