19965604032 has 672 divisors, whose sum is σ = 70488169920. Its totient is φ = 5514854400.

The previous prime is 19965604031. The next prime is 19965604067. The reversal of 19965604032 is 23040656991.

19965604032 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 5 + 604 + 0 + 32 = 666.

It is a super-2 number, since 2×19965604032² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19965604031) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 145734268 + ... + 145734404.

It is an arithmetic number, because the mean of its divisors is an integer number (104893110).

Almost surely, 2^19965604032 is an apocalyptic number.

19965604032 is a gapful number since it is divisible by the number (12) 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 19965604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35244084960).

19965604032 is an abundant number, since it is smaller than the sum of its proper divisors (50522565888).

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

19965604032 is a wasteful number, since it uses less digits than its factorization.

19965604032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 19965604032 in words is "nineteen billion, nine hundred sixty-five million, six hundred four thousand, thirty-two".