230061720000 has 560 divisors, whose sum is σ = 872744032512. Its totient is φ = 52377600000.

The previous prime is 230061719977. The next prime is 230061720019. The reversal of 230061720000 is 27160032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 336839659 + ... + 336840341.

Almost surely, 2^230061720000 is an apocalyptic number.

230061720000 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 230061720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436372016256).

230061720000 is an abundant number, since it is smaller than the sum of its proper divisors (642682312512).

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

230061720000 is an equidigital number, since it uses as much as digits as its factorization.

230061720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 230061720000 its reverse (27160032), we get a palindrome (230088880032).

The spelling of 230061720000 in words is "two hundred thirty billion, sixty-one million, seven hundred twenty thousand".