230588920320 has 320 divisors, whose sum is σ = 831918003840. Its totient is φ = 53972172800.

The previous prime is 230588920283. The next prime is 230588920357. The reversal of 230588920320 is 23029885032.

It is an interprime number because it is at equal distance from previous prime (230588920283) and next prime (230588920357).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2402860 + ... + 2496980.

It is an arithmetic number, because the mean of its divisors is an integer number (2599743762).

Almost surely, 2^230588920320 is an apocalyptic number.

230588920320 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 230588920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415959001920).

230588920320 is an abundant number, since it is smaller than the sum of its proper divisors (601329083520).

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

230588920320 is a wasteful number, since it uses less digits than its factorization.

230588920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94187 (or 94171 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 230588920320 in words is "two hundred thirty billion, five hundred eighty-eight million, nine hundred twenty thousand, three hundred twenty".