19830072000 has 224 divisors, whose sum is σ = 68926740480. Its totient is φ = 5009587200.

The previous prime is 19830071983. The next prime is 19830072001. The reversal of 19830072000 is 27003891.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (19830072001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434257 + ... + 477743.

Almost surely, 2^19830072000 is an apocalyptic number.

19830072000 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 19830072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34463370240).

19830072000 is an abundant number, since it is smaller than the sum of its proper divisors (49096668480).

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

19830072000 is a wasteful number, since it uses less digits than its factorization.

19830072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43536 (or 43516 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 19830072000 its reverse (27003891), we get a palindrome (19857075891).

The spelling of 19830072000 in words is "nineteen billion, eight hundred thirty million, seventy-two thousand".