180466513920 has 1536 divisors, whose sum is σ = 820834560000. Its totient is φ = 37282775040.

The previous prime is 180466513897. The next prime is 180466513937. The reversal of 180466513920 is 29315664081.

180466513920 is a `hidden beast` number, since 1 + 8 + 0 + 46 + 6 + 513 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1043158954 + ... + 1043159126.

It is an arithmetic number, because the mean of its divisors is an integer number (534397500).

Almost surely, 2^180466513920 is an apocalyptic number.

180466513920 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 180466513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410417280000).

180466513920 is an abundant number, since it is smaller than the sum of its proper divisors (640368046080).

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

180466513920 is a wasteful number, since it uses less digits than its factorization.

180466513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 180466513920 in words is "one hundred eighty billion, four hundred sixty-six million, five hundred thirteen thousand, nine hundred twenty".