16285306752 has 768 divisors, whose sum is σ = 59790931200. Its totient is φ = 4215214080.

The previous prime is 16285306747. The next prime is 16285306753. The reversal of 16285306752 is 25760358261.

16285306752 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 530 + 67 + 52 = 666.

It is a super-2 number, since 2×16285306752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16285306698 and 16285306707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16285306753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378728043 + ... + 378728085.

It is an arithmetic number, because the mean of its divisors is an integer number (77852775).

Almost surely, 2^16285306752 is an apocalyptic number.

16285306752 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 16285306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29895465600).

16285306752 is an abundant number, since it is smaller than the sum of its proper divisors (43505624448).

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

16285306752 is a wasteful number, since it uses less digits than its factorization.

16285306752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16285306752 in words is "sixteen billion, two hundred eighty-five million, three hundred six thousand, seven hundred fifty-two".