230090110560 has 72 divisors (see below), whose sum is σ = 785182507200. Its totient is φ = 61357362432.

The previous prime is 230090110559. The next prime is 230090110567. The reversal of 230090110560 is 65011090032.

230090110560 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 90 + 1 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230090110567) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 79890960 + ... + 79893839.

It is an arithmetic number, because the mean of its divisors is an integer number (10905312600).

Almost surely, 2^230090110560 is an apocalyptic number.

230090110560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230090110560 is an abundant number, since it is smaller than the sum of its proper divisors (555092396640).

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

230090110560 is a wasteful number, since it uses less digits than its factorization.

230090110560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159784820 (or 159784809 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 230090110560 in words is "two hundred thirty billion, ninety million, one hundred ten thousand, five hundred sixty".