235005097600 has 576 divisors, whose sum is σ = 750926937600. Its totient is φ = 71956684800.

The previous prime is 235005097589. The next prime is 235005097603. The reversal of 235005097600 is 6790500532.

235005097600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 235005097600.

It is not an unprimeable number, because it can be changed into a prime (235005097603) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 63188541 + ... + 63192259.

It is an arithmetic number, because the mean of its divisors is an integer number (1303692600).

Almost surely, 2^235005097600 is an apocalyptic number.

235005097600 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 235005097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375463468800).

235005097600 is an abundant number, since it is smaller than the sum of its proper divisors (515921840000).

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

235005097600 is a wasteful number, since it uses less digits than its factorization.

235005097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The spelling of 235005097600 in words is "two hundred thirty-five billion, five million, ninety-seven thousand, six hundred".