180929792160 has 864 divisors, whose sum is σ = 719971329168. Its totient is φ = 41100410880.

The previous prime is 180929792149. The next prime is 180929792161. The reversal of 180929792160 is 61297929081.

It can be written as a sum of positive squares in 8 ways, for example, as 1665619344 + 179264172816 = 40812^2 + 423396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 180929792097 and 180929792106.

It is not an unprimeable number, because it can be changed into a prime (180929792161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277074394 + ... + 277075046.

Almost surely, 2^180929792160 is an apocalyptic number.

180929792160 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 180929792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359985664584).

180929792160 is an abundant number, since it is smaller than the sum of its proper divisors (539041537008).

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

180929792160 is a wasteful number, since it uses less digits than its factorization.

180929792160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 180929792160 in words is "one hundred eighty billion, nine hundred twenty-nine million, seven hundred ninety-two thousand, one hundred sixty".