230093260830720 has 2304 divisors, whose sum is σ = 967744416038400. Its totient is φ = 52344681725952.

The previous prime is 230093260830701. The next prime is 230093260830743. The reversal of 230093260830720 is 27038062390032.

230093260830720 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 9 + 3 + 2 + 608 + 30 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336886179499 + ... + 336886180181.

It is an arithmetic number, because the mean of its divisors is an integer number (420027958350).

Almost surely, 2^{230093260830720} is an apocalyptic number.

230093260830720 is a gapful number since it is divisible by the number (20) 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 230093260830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483872208019200).

230093260830720 is an abundant number, since it is smaller than the sum of its proper divisors (737651155207680).

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

230093260830720 is an frugal number, since it uses more digits than its factorization.

230093260830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 230093260830720 in words is "two hundred thirty trillion, ninety-three billion, two hundred sixty million, eight hundred thirty thousand, seven hundred twenty".