180882028800 has 1296 divisors, whose sum is σ = 750376764480. Its totient is φ = 42577920000.

The previous prime is 180882028793. The next prime is 180882028819. The reversal of 180882028800 is 8820288081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 857260695 + ... + 857260905.

Almost surely, 2^180882028800 is an apocalyptic number.

180882028800 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 180882028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375188382240).

180882028800 is an abundant number, since it is smaller than the sum of its proper divisors (569494735680).

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

180882028800 is a wasteful number, since it uses less digits than its factorization.

180882028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The spelling of 180882028800 in words is "one hundred eighty billion, eight hundred eighty-two million, twenty-eight thousand, eight hundred".