19404406560 has 768 divisors, whose sum is σ = 81830891520. Its totient is φ = 3741450240.

The previous prime is 19404406529. The next prime is 19404406607. The reversal of 19404406560 is 6560440491.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55920307 + ... + 55920653.

It is an arithmetic number, because the mean of its divisors is an integer number (106550640).

Almost surely, 2^19404406560 is an apocalyptic number.

19404406560 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 19404406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40915445760).

19404406560 is an abundant number, since it is smaller than the sum of its proper divisors (62426484960).

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

19404406560 is a wasteful number, since it uses less digits than its factorization.

19404406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 19404406560 in words is "nineteen billion, four hundred four million, four hundred six thousand, five hundred sixty".