16205755104 has 1152 divisors, whose sum is σ = 67016678400. Its totient is φ = 3746856960.

The previous prime is 16205755091. The next prime is 16205755109. The reversal of 16205755104 is 40155750261.

16205755104 is a `hidden beast` number, since 16 + 20 + 575 + 51 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16205755109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182087092 + ... + 182087180.

It is an arithmetic number, because the mean of its divisors is an integer number (58174200).

Almost surely, 2^16205755104 is an apocalyptic number.

16205755104 is a gapful number since it is divisible by the number (14) 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 16205755104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33508339200).

16205755104 is an abundant number, since it is smaller than the sum of its proper divisors (50810923296).

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

16205755104 is a wasteful number, since it uses less digits than its factorization.

16205755104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 16205755104 in words is "sixteen billion, two hundred five million, seven hundred fifty-five thousand, one hundred four".