180005102464 has 128 divisors (see below), whose sum is σ = 401285340000. Its totient is φ = 79733022720.

The previous prime is 180005102371. The next prime is 180005102483. The reversal of 180005102464 is 464201500081.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11110882 + ... + 11127070.

Almost surely, 2^180005102464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180005102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200642670000).

180005102464 is an abundant number, since it is smaller than the sum of its proper divisors (221280237536).

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

180005102464 is a wasteful number, since it uses less digits than its factorization.

180005102464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16416 (or 16404 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 180005102464 in words is "one hundred eighty billion, five million, one hundred two thousand, four hundred sixty-four".