180274429952 has 128 divisors (see below), whose sum is σ = 376005227520. Its totient is φ = 86332538880.

The previous prime is 180274429949. The next prime is 180274429957. The reversal of 180274429952 is 259924472081.

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

It is a junction number, because it is equal to n+sod(n) for n = 180274429894 and 180274429903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180274429957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104627363 + ... + 104629085.

It is an arithmetic number, because the mean of its divisors is an integer number (2937540840).

Almost surely, 2^180274429952 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 180274429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188002613760).

180274429952 is an abundant number, since it is smaller than the sum of its proper divisors (195730797568).

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

180274429952 is an equidigital number, since it uses as much as digits as its factorization.

180274429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 180274429952 in words is "one hundred eighty billion, two hundred seventy-four million, four hundred twenty-nine thousand, nine hundred fifty-two".