180300556800 has 2160 divisors, whose sum is σ = 844986542400. Its totient is φ = 38041436160.

The previous prime is 180300556769. The next prime is 180300556823. The reversal of 180300556800 is 8655003081.

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 tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13869273594 + ... + 13869273606.

Almost surely, 2^180300556800 is an apocalyptic number.

180300556800 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 180300556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422493271200).

180300556800 is an abundant number, since it is smaller than the sum of its proper divisors (664685985600).

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

180300556800 is an frugal number, since it uses more digits than its factorization.

180300556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 180300556800 its reverse (8655003081), we get a palindrome (188955559881).

The spelling of 180300556800 in words is "one hundred eighty billion, three hundred million, five hundred fifty-six thousand, eight hundred".