19205036850000 has 960 divisors, whose sum is σ = 69769946937600. Its totient is φ = 4527452160000.

The previous prime is 19205036849987. The next prime is 19205036850049. The reversal of 19205036850000 is 5863050291.

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, 2736146491 + ... + 2736153509.

It is an arithmetic number, because the mean of its divisors is an integer number (72677028060).

Almost surely, 2^{19205036850000} is an apocalyptic number.

19205036850000 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 19205036850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34884973468800).

19205036850000 is an abundant number, since it is smaller than the sum of its proper divisors (50564910087600).

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

19205036850000 is a wasteful number, since it uses less digits than its factorization.

19205036850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7138 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 19205036850000 in words is "nineteen trillion, two hundred five billion, thirty-six million, eight hundred fifty thousand".