180810806450820 has 1152 divisors, whose sum is σ = 648520893296640. Its totient is φ = 37300115865600.

The previous prime is 180810806450809. The next prime is 180810806450863. The reversal of 180810806450820 is 28054608018081.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 257932676470 + ... + 257932677170.

It is an arithmetic number, because the mean of its divisors is an integer number (562952164320).

Almost surely, 2^{180810806450820} is an apocalyptic number.

180810806450820 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 180810806450820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324260446648320).

180810806450820 is an abundant number, since it is smaller than the sum of its proper divisors (467710086845820).

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

180810806450820 is a wasteful number, since it uses less digits than its factorization.

180810806450820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The spelling of 180810806450820 in words is "one hundred eighty trillion, eight hundred ten billion, eight hundred six million, four hundred fifty thousand, eight hundred twenty".