16609051584360 has 768 divisors, whose sum is σ = 58704200755200. Its totient is φ = 4218523545600.

The previous prime is 16609051584347. The next prime is 16609051584373. The reversal of 16609051584360 is 6348515090661.

16609051584360 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 9 + 0 + 51 + 584 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16609051584347) and next prime (16609051584373).

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

It is a junction number, because it is equal to n+sod(n) for n = 16609051584297 and 16609051584306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5156487550 + ... + 5156490770.

It is an arithmetic number, because the mean of its divisors is an integer number (76437761400).

Almost surely, 2^{16609051584360} is an apocalyptic number.

16609051584360 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 16609051584360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352100377600).

16609051584360 is an abundant number, since it is smaller than the sum of its proper divisors (42095149170840).

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

16609051584360 is a wasteful number, since it uses less digits than its factorization.

16609051584360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 16609051584360 in words is "sixteen trillion, six hundred nine billion, fifty-one million, five hundred eighty-four thousand, three hundred sixty".