180665008128 has 360 divisors, whose sum is σ = 587880873216. Its totient is φ = 52966195200.

The previous prime is 180665008091. The next prime is 180665008171. The reversal of 180665008128 is 821800566081.

180665008128 is a `hidden beast` number, since 1 + 8 + 0 + 66 + 500 + 81 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50280700 + ... + 50284292.

Almost surely, 2^180665008128 is an apocalyptic number.

180665008128 is a gapful number since it is divisible by the number (18) 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 180665008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293940436608).

180665008128 is an abundant number, since it is smaller than the sum of its proper divisors (407215865088).

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

180665008128 is a wasteful number, since it uses less digits than its factorization.

180665008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 180665008128 in words is "one hundred eighty billion, six hundred sixty-five million, eight thousand, one hundred twenty-eight".