230558290560 has 576 divisors, whose sum is σ = 866580249600. Its totient is φ = 56458321920.

The previous prime is 230558290559. The next prime is 230558290609. The reversal of 230558290560 is 65092855032.

230558290560 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 5 + 82 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×230558290560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232651665 + ... + 232652655.

It is an arithmetic number, because the mean of its divisors is an integer number (1504479600).

Almost surely, 2^230558290560 is an apocalyptic number.

230558290560 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 230558290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433290124800).

230558290560 is an abundant number, since it is smaller than the sum of its proper divisors (636021959040).

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

230558290560 is a wasteful number, since it uses less digits than its factorization.

230558290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 230558290560 in words is "two hundred thirty billion, five hundred fifty-eight million, two hundred ninety thousand, five hundred sixty".