19769830080 has 672 divisors, whose sum is σ = 85811685120. Its totient is φ = 3790725120.

The previous prime is 19769830039. The next prime is 19769830117. The reversal of 19769830080 is 8003896791.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6725251 + ... + 6728189.

It is an arithmetic number, because the mean of its divisors is an integer number (127695960).

Almost surely, 2^19769830080 is an apocalyptic number.

19769830080 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 19769830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42905842560).

19769830080 is an abundant number, since it is smaller than the sum of its proper divisors (66041855040).

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

19769830080 is a wasteful number, since it uses less digits than its factorization.

19769830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 19769830080 in words is "nineteen billion, seven hundred sixty-nine million, eight hundred thirty thousand, eighty".