230204950080 has 448 divisors, whose sum is σ = 861988055040. Its totient is φ = 50957107200.

The previous prime is 230204950069. The next prime is 230204950099. The reversal of 230204950080 is 80059402032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38294275 + ... + 38300285.

It is an arithmetic number, because the mean of its divisors is an integer number (1924080480).

Almost surely, 2^230204950080 is an apocalyptic number.

230204950080 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 230204950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430994027520).

230204950080 is an abundant number, since it is smaller than the sum of its proper divisors (631783104960).

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

230204950080 is a wasteful number, since it uses less digits than its factorization.

230204950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 230204950080 in words is "two hundred thirty billion, two hundred four million, nine hundred fifty thousand, eighty".