16205770368 has 192 divisors, whose sum is σ = 47226816000. Its totient is φ = 5333796864.

The previous prime is 16205770349. The next prime is 16205770379. The reversal of 16205770368 is 86307750261.

16205770368 is a `hidden beast` number, since 16 + 2 + 0 + 577 + 0 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51122146 + ... + 51122462.

It is an arithmetic number, because the mean of its divisors is an integer number (245973000).

Almost surely, 2^16205770368 is an apocalyptic number.

16205770368 is a gapful number since it is divisible by the number (18) 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 16205770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23613408000).

16205770368 is an abundant number, since it is smaller than the sum of its proper divisors (31021045632).

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

16205770368 is a wasteful number, since it uses less digits than its factorization.

16205770368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 16205770368 in words is "sixteen billion, two hundred five million, seven hundred seventy thousand, three hundred sixty-eight".