19085084544 has 128 divisors (see below), whose sum is σ = 53837028000. Its totient is φ = 5969608704.

The previous prime is 19085084539. The next prime is 19085084567. The reversal of 19085084544 is 44548058091.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 19085084493 and 19085084502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2274084 + ... + 2282460.

Almost surely, 2^19085084544 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 19085084544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918514000).

19085084544 is an abundant number, since it is smaller than the sum of its proper divisors (34751943456).

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

19085084544 is a wasteful number, since it uses less digits than its factorization.

19085084544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8760 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 19085084544 in words is "nineteen billion, eighty-five million, eighty-four thousand, five hundred forty-four".