19738450998000 has 960 divisors, whose sum is σ = 83589453742080. Its totient is φ = 4240470528000.

The previous prime is 19738450997999. The next prime is 19738450998023. The reversal of 19738450998000 is 89905483791.

19738450998000 is a `hidden beast` number, since 1 + 9 + 7 + 38 + 4 + 509 + 98 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×19738450998000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 304005540 + ... + 304070460.

It is an arithmetic number, because the mean of its divisors is an integer number (87072347648).

Almost surely, 2^{19738450998000} is an apocalyptic number.

19738450998000 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 19738450998000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41794726871040).

19738450998000 is an abundant number, since it is smaller than the sum of its proper divisors (63851002744080).

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

19738450998000 is a wasteful number, since it uses less digits than its factorization.

19738450998000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65103 (or 65084 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 19738450998000 in words is "nineteen trillion, seven hundred thirty-eight billion, four hundred fifty million, nine hundred ninety-eight thousand".