233001125410020 has 576 divisors, whose sum is σ = 724016025427968. Its totient is φ = 55944557081600.

The previous prime is 233001125409973. The next prime is 233001125410033. The reversal of 233001125410020 is 20014521100332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 463222913089 + ... + 463222913591.

It is an arithmetic number, because the mean of its divisors is an integer number (1256972266368).

Almost surely, 2^{233001125410020} is an apocalyptic number.

233001125410020 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 233001125410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362008012713984).

233001125410020 is an abundant number, since it is smaller than the sum of its proper divisors (491014900017948).

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

233001125410020 is a wasteful number, since it uses less digits than its factorization.

233001125410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 233001125410020 its reverse (20014521100332), we get a palindrome (253015646510352).

The spelling of 233001125410020 in words is "two hundred thirty-three trillion, one billion, one hundred twenty-five million, four hundred ten thousand, twenty".