1830822227520 has 448 divisors, whose sum is σ = 6834948341760. Its totient is φ = 409343385600.

The previous prime is 1830822227497. The next prime is 1830822227527. The reversal of 1830822227520 is 257222280381.

It is not an unprimeable number, because it can be changed into a prime (1830822227527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181067265 + ... + 181077375.

It is an arithmetic number, because the mean of its divisors is an integer number (15256581120).

Almost surely, 2^{1830822227520} is an apocalyptic number.

1830822227520 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 1830822227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417474170880).

1830822227520 is an abundant number, since it is smaller than the sum of its proper divisors (5004126114240).

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

1830822227520 is a wasteful number, since it uses less digits than its factorization.

1830822227520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11474 (or 11464 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 1830822227520 in words is "one trillion, eight hundred thirty billion, eight hundred twenty-two million, two hundred twenty-seven thousand, five hundred twenty".