16506430000 has 200 divisors, whose sum is σ = 41191626960. Its totient is φ = 6403200000.

The previous prime is 16506429977. The next prime is 16506430037. The reversal of 16506430000 is 3460561.

16506430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 59589862 + ... + 59590138.

Almost surely, 2^16506430000 is an apocalyptic number.

16506430000 is a gapful number since it is divisible by the number (10) 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 16506430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20595813480).

16506430000 is an abundant number, since it is smaller than the sum of its proper divisors (24685196960).

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

16506430000 is a wasteful number, since it uses less digits than its factorization.

16506430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 16506430000 its reverse (3460561), we get a palindrome (16509890561).

It can be divided in two parts, 16 and 506430000, that added together give a square (506430016 = 22504²).

The spelling of 16506430000 in words is "sixteen billion, five hundred six million, four hundred thirty thousand".