233520240096 has 288 divisors, whose sum is σ = 786330574848. Its totient is φ = 64804561920.

The previous prime is 233520240011. The next prime is 233520240103. The reversal of 233520240096 is 690042025332.

It is a happy number.

233520240096 is a `hidden beast` number, since 2 + 3 + 3 + 520 + 2 + 40 + 0 + 96 = 666.

233520240096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 233520240096.

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 47 ways as a sum of consecutive naturals, for example, 5208045 + ... + 5252691.

It is an arithmetic number, because the mean of its divisors is an integer number (2730314496).

Almost surely, 2^233520240096 is an apocalyptic number.

233520240096 is a gapful number since it is divisible by the number (26) 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 233520240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393165287424).

233520240096 is an abundant number, since it is smaller than the sum of its proper divisors (552810334752).

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

233520240096 is a wasteful number, since it uses less digits than its factorization.

233520240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44814 (or 44803 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 233520240096 in words is "two hundred thirty-three billion, five hundred twenty million, two hundred forty thousand, ninety-six".