19564416128 has 64 divisors (see below), whose sum is σ = 41341212000. Its totient is φ = 9196462080.

The previous prime is 19564416127. The next prime is 19564416133. The reversal of 19564416128 is 82161446591.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (19564416127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287888 + ... + 349296.

Almost surely, 2^19564416128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19564416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20670606000).

19564416128 is an abundant number, since it is smaller than the sum of its proper divisors (21776795872).

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

19564416128 is a wasteful number, since it uses less digits than its factorization.

19564416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61573 (or 61561 counting only the distinct ones).

The product of its digits is 414720, while the sum is 47.

The spelling of 19564416128 in words is "nineteen billion, five hundred sixty-four million, four hundred sixteen thousand, one hundred twenty-eight".