19032005000000 has 168 divisors, whose sum is σ = 47232382112136. Its totient is φ = 7608900000000.

The previous prime is 19032004999951. The next prime is 19032005000077. The reversal of 19032005000000 is 50023091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 18827129272576 + 204875727424 = 4339024^2 + 452632^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9754999025 + ... + 9755000975.

Almost surely, 2^{19032005000000} is an apocalyptic number.

19032005000000 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 19032005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23616191056068).

19032005000000 is an abundant number, since it is smaller than the sum of its proper divisors (28200377112136).

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

19032005000000 is an frugal number, since it uses more digits than its factorization.

19032005000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Multiplying 19032005000000 by its sum of digits (20), we get a square (380640100000000 = 19510000²).

19032005000000 divided by its sum of digits (20) gives a square (951600250000 = 975500²).

Adding to 19032005000000 its reverse (50023091), we get a palindrome (19032055023091).

The spelling of 19032005000000 in words is "nineteen trillion, thirty-two billion, five million", and thus it is an aban number and an uban number.