19219200000 has 1152 divisors, whose sum is σ = 85989496320. Its totient is φ = 3686400000.

The previous prime is 19219199999. The next prime is 19219200019. The reversal of 19219200000 is 291291.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1478399994 + ... + 1478400006.

It is an arithmetic number, because the mean of its divisors is an integer number (74643660).

Almost surely, 2^19219200000 is an apocalyptic number.

19219200000 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 19219200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42994748160).

19219200000 is an abundant number, since it is smaller than the sum of its proper divisors (66770296320).

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

19219200000 is an equidigital number, since it uses as much as digits as its factorization.

19219200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 19219200000 its reverse (291291), we get a palindrome (19219491291).

The spelling of 19219200000 in words is "nineteen billion, two hundred nineteen million, two hundred thousand".