16205508864 has 144 divisors (see below), whose sum is σ = 48302499840. Its totient is φ = 5359011840.

The previous prime is 16205508863. The next prime is 16205508877. The reversal of 16205508864 is 46880550261.

16205508864 is a `hidden beast` number, since 1 + 62 + 0 + 5 + 508 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (16205508863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868594 + ... + 887054.

Almost surely, 2^16205508864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16205508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24151249920).

16205508864 is an abundant number, since it is smaller than the sum of its proper divisors (32096990976).

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

16205508864 is a wasteful number, since it uses less digits than its factorization.

16205508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18613 (or 18593 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 16205508864 in words is "sixteen billion, two hundred five million, five hundred eight thousand, eight hundred sixty-four".