180292947120 has 1280 divisors, whose sum is σ = 793549209600. Its totient is φ = 36951552000.

The previous prime is 180292947053. The next prime is 180292947161. The reversal of 180292947120 is 21749292081.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 181929825 + ... + 181930815.

It is an arithmetic number, because the mean of its divisors is an integer number (619960320).

Almost surely, 2^180292947120 is an apocalyptic number.

180292947120 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 180292947120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396774604800).

180292947120 is an abundant number, since it is smaller than the sum of its proper divisors (613256262480).

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

180292947120 is a wasteful number, since it uses less digits than its factorization.

180292947120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 180292947120 in words is "one hundred eighty billion, two hundred ninety-two million, nine hundred forty-seven thousand, one hundred twenty".