19042089120 has 240 divisors, whose sum is σ = 67390186248. Its totient is φ = 5063731200.

The previous prime is 19042089097. The next prime is 19042089139. The reversal of 19042089120 is 2198024091.

It can be written as a sum of positive squares in 4 ways, for example, as 15794456976 + 3247632144 = 125676^2 + 56988^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5143270 + ... + 5146970.

Almost surely, 2^19042089120 is an apocalyptic number.

19042089120 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 19042089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33695093124).

19042089120 is an abundant number, since it is smaller than the sum of its proper divisors (48348097128).

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

19042089120 is a wasteful number, since it uses less digits than its factorization.

19042089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 19042089120 in words is "nineteen billion, forty-two million, eighty-nine thousand, one hundred twenty".