19765032000 has 448 divisors, whose sum is σ = 76141478400. Its totient is φ = 4517721600.

The previous prime is 19765031981. The next prime is 19765032047. The reversal of 19765032000 is 23056791.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×19765032000² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2823575997 + ... + 2823576003.

Almost surely, 2^19765032000 is an apocalyptic number.

19765032000 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 19765032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38070739200).

19765032000 is an abundant number, since it is smaller than the sum of its proper divisors (56376446400).

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

19765032000 is an frugal number, since it uses more digits than its factorization.

19765032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

Adding to 19765032000 its reverse (23056791), we get a palindrome (19788088791).

The spelling of 19765032000 in words is "nineteen billion, seven hundred sixty-five million, thirty-two thousand".