16559038080 has 768 divisors, whose sum is σ = 66028435200. Its totient is φ = 3790209024.

The previous prime is 16559038079. The next prime is 16559038081. The reversal of 16559038080 is 8083095561.

16559038080 is a `hidden beast` number, since 16 + 559 + 0 + 3 + 8 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (16559038079) and next prime (16559038081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16559038081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146540104 + ... + 146540216.

It is an arithmetic number, because the mean of its divisors is an integer number (85974525).

Almost surely, 2^16559038080 is an apocalyptic number.

16559038080 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 16559038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014217600).

16559038080 is an abundant number, since it is smaller than the sum of its proper divisors (49469397120).

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

16559038080 is a wasteful number, since it uses less digits than its factorization.

16559038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 16559038080 in words is "sixteen billion, five hundred fifty-nine million, thirty-eight thousand, eighty".