235120803840 has 1440 divisors, whose sum is σ = 984362621760. Its totient is φ = 52999225344.

The previous prime is 235120803811. The next prime is 235120803847. The reversal of 235120803840 is 48308021532.

235120803840 is a `hidden beast` number, since 23 + 51 + 208 + 0 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 235120803795 and 235120803804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235120803847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6354616302 + ... + 6354616338.

It is an arithmetic number, because the mean of its divisors is an integer number (683585154).

Almost surely, 2^235120803840 is an apocalyptic number.

235120803840 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 235120803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492181310880).

235120803840 is an abundant number, since it is smaller than the sum of its proper divisors (749241817920).

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

235120803840 is a wasteful number, since it uses less digits than its factorization.

235120803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 235120803840 in words is "two hundred thirty-five billion, one hundred twenty million, eight hundred three thousand, eight hundred forty".