230280611097600 has 1584 divisors, whose sum is σ = 978110448480256. Its totient is φ = 50654232576000.

The previous prime is 230280611097577. The next prime is 230280611097617. The reversal of 230280611097600 is 6790116082032.

230280611097600 is a `hidden beast` number, since 2 + 3 + 0 + 28 + 0 + 6 + 1 + 10 + 9 + 7 + 600 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 9049408077 + ... + 9049433523.

Almost surely, 2^{230280611097600} is an apocalyptic number.

230280611097600 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 230280611097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489055224240128).

230280611097600 is an abundant number, since it is smaller than the sum of its proper divisors (747829837382656).

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

230280611097600 is a wasteful number, since it uses less digits than its factorization.

230280611097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25702 (or 25676 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 230280611097600 in words is "two hundred thirty trillion, two hundred eighty billion, six hundred eleven million, ninety-seven thousand, six hundred".