19200000000000 has 432 divisors, whose sum is σ = 63999755597232. Its totient is φ = 5120000000000.

The previous prime is 19199999999989. The next prime is 19200000000011. The reversal of 19200000000000 is 291.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19199999999989) and next prime (19200000000011).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 19199999999895 and 19199999999904.

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, 3839999999998 + ... + 3840000000002.

It is an arithmetic number, because the mean of its divisors is an integer number (148147582401).

Almost surely, 2^{19200000000000} is an apocalyptic number.

19200000000000 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 19200000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31999877798616).

19200000000000 is an abundant number, since it is smaller than the sum of its proper divisors (44799755597232).

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

19200000000000 is an frugal number, since it uses more digits than its factorization.

19200000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 19200000000000 its reverse (291), we get a palindrome (19200000000291).

The spelling of 19200000000000 in words is "nineteen trillion, two hundred billion", and thus it is an aban number.