16565434560360 has 768 divisors, whose sum is σ = 66614121100800. Its totient is φ = 3484352249856.

The previous prime is 16565434560347. The next prime is 16565434560371. The reversal of 16565434560360 is 6306543456561.

16565434560360 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 5 + 43 + 4 + 560 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16565434560297 and 16565434560306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 344880826 + ... + 344928854.

It is an arithmetic number, because the mean of its divisors is an integer number (86737136850).

Almost surely, 2^{16565434560360} is an apocalyptic number.

16565434560360 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 16565434560360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33307060550400).

16565434560360 is an abundant number, since it is smaller than the sum of its proper divisors (50048686540440).

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

16565434560360 is a wasteful number, since it uses less digits than its factorization.

16565434560360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48250 (or 48243 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 16565434560360 in words is "sixteen trillion, five hundred sixty-five billion, four hundred thirty-four million, five hundred sixty thousand, three hundred sixty".