16531680000 has 720 divisors, whose sum is σ = 62526385152. Its totient is φ = 3840000000.

The previous prime is 16531679977. The next prime is 16531680007. The reversal of 16531680000 is 8613561.

16531680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 16531680000.

It is not an unprimeable number, because it can be changed into a prime (16531680007) 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 79 ways as a sum of consecutive naturals, for example, 163679950 + ... + 163680050.

Almost surely, 2^16531680000 is an apocalyptic number.

16531680000 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 16531680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31263192576).

16531680000 is an abundant number, since it is smaller than the sum of its proper divisors (45994705152).

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

16531680000 is a wasteful number, since it uses less digits than its factorization.

16531680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 16531680000 in words is "sixteen billion, five hundred thirty-one million, six hundred eighty thousand".