230059359129600 has 6240 divisors, whose sum is σ = 1158699782634240. Its totient is φ = 43934574182400.

The previous prime is 230059359129559. The next prime is 230059359129619. The reversal of 230059359129600 is 6921953950032.

It is a happy number.

230059359129600 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 5 + 9 + 3 + 5 + 9 + 1 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1004626022286 + ... + 1004626022514.

Almost surely, 2^{230059359129600} is an apocalyptic number.

230059359129600 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 230059359129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579349891317120).

230059359129600 is an abundant number, since it is smaller than the sum of its proper divisors (928640423504640).

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

230059359129600 is a wasteful number, since it uses less digits than its factorization.

230059359129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 230059359129600 in words is "two hundred thirty trillion, fifty-nine billion, three hundred fifty-nine million, one hundred twenty-nine thousand, six hundred".