19085760000 has 600 divisors, whose sum is σ = 72130379640. Its totient is φ = 4981248000.

The previous prime is 19085759999. The next prime is 19085760011. The reversal of 19085760000 is 6758091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 406079977 + ... + 406080023.

Almost surely, 2^19085760000 is an apocalyptic number.

19085760000 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 19085760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36065189820).

19085760000 is an abundant number, since it is smaller than the sum of its proper divisors (53044619640).

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

19085760000 is an frugal number, since it uses more digits than its factorization.

19085760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 19085760000 in words is "nineteen billion, eighty-five million, seven hundred sixty thousand".