16180300800 has 792 divisors, whose sum is σ = 63898660720. Its totient is φ = 4060938240.

The previous prime is 16180300769. The next prime is 16180300849. The reversal of 16180300800 is 800308161.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 951782392 + ... + 951782408.

Almost surely, 2^16180300800 is an apocalyptic number.

16180300800 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 16180300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31949330360).

16180300800 is an abundant number, since it is smaller than the sum of its proper divisors (47718359920).

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

16180300800 is an frugal number, since it uses more digits than its factorization.

16180300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Multiplying 16180300800 by its sum of digits (27), we get a square (436868121600 = 660960²).

16180300800 divided by its sum of digits (27) gives a square (599270400 = 24480²).

Adding to 16180300800 its reverse (800308161), we get a palindrome (16980608961).

The spelling of 16180300800 in words is "sixteen billion, one hundred eighty million, three hundred thousand, eight hundred".