19072435104 has 144 divisors (see below), whose sum is σ = 57476994120. Its totient is φ = 5988433920.

The previous prime is 19072435097. The next prime is 19072435139. The reversal of 19072435104 is 40153427091.

It can be written as a sum of positive squares in 4 ways, for example, as 17675170704 + 1397264400 = 132948^2 + 37380^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 314584 + ... + 370280.

Almost surely, 2^19072435104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19072435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28738497060).

19072435104 is an abundant number, since it is smaller than the sum of its proper divisors (38404559016).

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

19072435104 is a wasteful number, since it uses less digits than its factorization.

19072435104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55783 (or 55772 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 19072435104 in words is "nineteen billion, seventy-two million, four hundred thirty-five thousand, one hundred four".