1813730512320 has 560 divisors, whose sum is σ = 6567732864000. Its totient is φ = 475032729600.

The previous prime is 1813730512259. The next prime is 1813730512327. The reversal of 1813730512320 is 232150373181.

It is a happy number.

1813730512320 is a `hidden beast` number, since 1 + 8 + 1 + 373 + 0 + 51 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813730512327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 407486095 + ... + 407490545.

It is an arithmetic number, because the mean of its divisors is an integer number (11728094400).

Almost surely, 2^{1813730512320} is an apocalyptic number.

1813730512320 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 1813730512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283866432000).

1813730512320 is an abundant number, since it is smaller than the sum of its proper divisors (4754002351680).

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

1813730512320 is a wasteful number, since it uses less digits than its factorization.

1813730512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1813730512320 in words is "one trillion, eight hundred thirteen billion, seven hundred thirty million, five hundred twelve thousand, three hundred twenty".