180219271680 has 600 divisors, whose sum is σ = 750916696068. Its totient is φ = 41190653952.

The previous prime is 180219271667. The next prime is 180219271709. The reversal of 180219271680 is 86172912081.

It can be written as a sum of positive squares in 2 ways, for example, as 176682352896 + 3536918784 = 420336^2 + 59472^2 .

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 59 ways as a sum of consecutive naturals, for example, 10151772 + ... + 10169508.

Almost surely, 2^180219271680 is an apocalyptic number.

180219271680 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 180219271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375458348034).

180219271680 is an abundant number, since it is smaller than the sum of its proper divisors (570697424388).

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

180219271680 is an equidigital number, since it uses as much as digits as its factorization.

180219271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17786 (or 17754 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 180219271680 in words is "one hundred eighty billion, two hundred nineteen million, two hundred seventy-one thousand, six hundred eighty".