235668888000 has 672 divisors, whose sum is σ = 1037600403840. Its totient is φ = 49722163200.

The previous prime is 235668887989. The next prime is 235668888001. The reversal of 235668888000 is 888866532.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235668888001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6534016 + ... + 6569984.

It is an arithmetic number, because the mean of its divisors is an integer number (1544048220).

Almost surely, 2^235668888000 is an apocalyptic number.

235668888000 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 235668888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518800201920).

235668888000 is an abundant number, since it is smaller than the sum of its proper divisors (801931515840).

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

235668888000 is a wasteful number, since it uses less digits than its factorization.

235668888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36022 (or 35999 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 235668888000 in words is "two hundred thirty-five billion, six hundred sixty-eight million, eight hundred eighty-eight thousand".