16205409792 has 240 divisors, whose sum is σ = 54948701808. Its totient is φ = 4532797440.

The previous prime is 16205409761. The next prime is 16205409799. The reversal of 16205409792 is 29790450261.

16205409792 is a `hidden beast` number, since 16 + 2 + 0 + 540 + 9 + 7 + 92 = 666.

16205409792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16205409799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646648 + ... + 671240.

Almost surely, 2^16205409792 is an apocalyptic number.

16205409792 is a gapful number since it is divisible by the number (12) 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 16205409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474350904).

16205409792 is an abundant number, since it is smaller than the sum of its proper divisors (38743292016).

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

16205409792 is a wasteful number, since it uses less digits than its factorization.

16205409792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24641 (or 24622 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 16205409792 in words is "sixteen billion, two hundred five million, four hundred nine thousand, seven hundred ninety-two".