16589473920 has 672 divisors, whose sum is σ = 63102190860. Its totient is φ = 4165447680.

The previous prime is 16589473913. The next prime is 16589473931. The reversal of 16589473920 is 2937498561.

16589473920 is a `hidden beast` number, since 1 + 6 + 5 + 89 + 473 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16185946176 + 403527744 = 127224^2 + 20088^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 448364142 + ... + 448364178.

It is a 1-persistent number, because it is pandigital, but 2⋅16589473920 = 33178947840 is not.

Almost surely, 2^16589473920 is an apocalyptic number.

16589473920 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 16589473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31551095430).

16589473920 is an abundant number, since it is smaller than the sum of its proper divisors (46512716940).

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

16589473920 is an frugal number, since it uses more digits than its factorization.

16589473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 16589473920 in words is "sixteen billion, five hundred eighty-nine million, four hundred seventy-three thousand, nine hundred twenty".