19585020000 has 960 divisors, whose sum is σ = 84115874304. Its totient is φ = 3870720000.

The previous prime is 19585019981. The next prime is 19585020019. The reversal of 19585020000 is 2058591.

It is an interprime number because it is at equal distance from previous prime (19585019981) and next prime (19585020019).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 19585020000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92819895 + ... + 92820105.

Almost surely, 2^19585020000 is an apocalyptic number.

19585020000 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 19585020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42057937152).

19585020000 is an abundant number, since it is smaller than the sum of its proper divisors (64530854304).

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

19585020000 is a wasteful number, since it uses less digits than its factorization.

19585020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 19585020000 its reverse (2058591), we get a palindrome (19587078591).

The spelling of 19585020000 in words is "nineteen billion, five hundred eighty-five million, twenty thousand".