16027340800 has 156 divisors (see below), whose sum is σ = 39955992876. Its totient is φ = 6376652800.

The previous prime is 16027340773. The next prime is 16027340827. The reversal of 16027340800 is 804372061.

It is an interprime number because it is at equal distance from previous prime (16027340773) and next prime (16027340827).

It can be written as a sum of positive squares in 6 ways, for example, as 1349533696 + 14677807104 = 36736^2 + 121152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28774122 + ... + 28774678.

Almost surely, 2^16027340800 is an apocalyptic number.

16027340800 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 16027340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19977996438).

16027340800 is an abundant number, since it is smaller than the sum of its proper divisors (23928652076).

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

16027340800 is an equidigital number, since it uses as much as digits as its factorization.

16027340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 16027340800 in words is "sixteen billion, twenty-seven million, three hundred forty thousand, eight hundred".