180129484800 has 1092 divisors, whose sum is σ = 710491271680. Its totient is φ = 45148078080.

The previous prime is 180129484783. The next prime is 180129484807. The reversal of 180129484800 is 8484921081.

180129484800 is a `hidden beast` number, since 1 + 8 + 0 + 129 + 48 + 480 + 0 = 666.

180129484800 is digitally balanced in base 3, 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180129484807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1418342337 + ... + 1418342463.

Almost surely, 2^180129484800 is an apocalyptic number.

180129484800 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 180129484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355245635840).

180129484800 is an abundant number, since it is smaller than the sum of its proper divisors (530361786880).

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

180129484800 is an equidigital number, since it uses as much as digits as its factorization.

180129484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 180129484800 in words is "one hundred eighty billion, one hundred twenty-nine million, four hundred eighty-four thousand, eight hundred".