19851848485200 has 1200 divisors, whose sum is σ = 78034858147840. Its totient is φ = 4814619264000.

The previous prime is 19851848485151. The next prime is 19851848485201. The reversal of 19851848485200 is 258484815891.

19851848485200 is a `hidden beast` number, since 1 + 9 + 8 + 51 + 8 + 484 + 85 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19851848485201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2423613105 + ... + 2423621295.

Almost surely, 2^{19851848485200} is an apocalyptic number.

19851848485200 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 19851848485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39017429073920).

19851848485200 is an abundant number, since it is smaller than the sum of its proper divisors (58183009662640).

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

19851848485200 is a wasteful number, since it uses less digits than its factorization.

19851848485200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8398 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 63.

The spelling of 19851848485200 in words is "nineteen trillion, eight hundred fifty-one billion, eight hundred forty-eight million, four hundred eighty-five thousand, two hundred".