19042135200 has 432 divisors, whose sum is σ = 77566035456. Its totient is φ = 4344422400.

The previous prime is 19042135199. The next prime is 19042135201. The reversal of 19042135200 is 253124091.

19042135200 is a `hidden beast` number, since 1 + 9 + 0 + 421 + 35 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (19042135199) and next prime (19042135201).

It is not an unprimeable number, because it can be changed into a prime (19042135201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1339329 + ... + 1353471.

It is an arithmetic number, because the mean of its divisors is an integer number (179551008).

Almost surely, 2^19042135200 is an apocalyptic number.

19042135200 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 19042135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38783017728).

19042135200 is an abundant number, since it is smaller than the sum of its proper divisors (58523900256).

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

19042135200 is a wasteful number, since it uses less digits than its factorization.

19042135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14197 (or 14181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 19042135200 its reverse (253124091), we get a palindrome (19295259291).

The spelling of 19042135200 in words is "nineteen billion, forty-two million, one hundred thirty-five thousand, two hundred".