235553224001024 has 80 divisors (see below), whose sum is σ = 475330069334736. Its totient is φ = 116604662784000.

The previous prime is 235553224001021. The next prime is 235553224001033. The reversal of 235553224001024 is 420100422355532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235553224001021) 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 7 ways as a sum of consecutive naturals, for example, 1142266694 + ... + 1142472890.

Almost surely, 2^{235553224001024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235553224001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237665034667368).

235553224001024 is an abundant number, since it is smaller than the sum of its proper divisors (239776845333712).

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

235553224001024 is a wasteful number, since it uses less digits than its factorization.

235553224001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228407 (or 228391 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

Adding to 235553224001024 its reverse (420100422355532), we get a palindrome (655653646356556).

The spelling of 235553224001024 in words is "two hundred thirty-five trillion, five hundred fifty-three billion, two hundred twenty-four million, one thousand, twenty-four".