180952291960 has 128 divisors (see below), whose sum is σ = 473938387200. Its totient is φ = 61483484160.

The previous prime is 180952291921. The next prime is 180952291963. The reversal of 180952291960 is 69192259081.

It is a junction number, because it is equal to n+sod(n) for n = 180952291898 and 180952291907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180952291963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 462027 + ... + 758533.

It is an arithmetic number, because the mean of its divisors is an integer number (3702643650).

Almost surely, 2^180952291960 is an apocalyptic number.

180952291960 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 180952291960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236969193600).

180952291960 is an abundant number, since it is smaller than the sum of its proper divisors (292986095240).

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

180952291960 is a wasteful number, since it uses less digits than its factorization.

180952291960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296621 (or 296617 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 180952291960 in words is "one hundred eighty billion, nine hundred fifty-two million, two hundred ninety-one thousand, nine hundred sixty".