16765385832 has 480 divisors, whose sum is σ = 55182897000. Its totient is φ = 4723080192.

The previous prime is 16765385803. The next prime is 16765385863. The reversal of 16765385832 is 23858356761.

16765385832 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 53 + 8 + 583 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11753595396 + 5011790436 = 108414^2 + 70794^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112519294 + ... + 112519442.

Almost surely, 2^16765385832 is an apocalyptic number.

16765385832 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 16765385832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27591448500).

16765385832 is an abundant number, since it is smaller than the sum of its proper divisors (38417511168).

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

16765385832 is a wasteful number, since it uses less digits than its factorization.

16765385832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 223 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 16765385832 in words is "sixteen billion, seven hundred sixty-five million, three hundred eighty-five thousand, eight hundred thirty-two".