235163658240 has 1152 divisors, whose sum is σ = 1009683118080. Its totient is φ = 51327074304.

The previous prime is 235163658211. The next prime is 235163658241. The reversal of 235163658240 is 42856361532.

235163658240 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 63 + 6 + 582 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (235163658241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400619227 + ... + 400619813.

It is an arithmetic number, because the mean of its divisors is an integer number (876461040).

Almost surely, 2^235163658240 is an apocalyptic number.

235163658240 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 235163658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504841559040).

235163658240 is an abundant number, since it is smaller than the sum of its proper divisors (774519459840).

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

235163658240 is an equidigital number, since it uses as much as digits as its factorization.

235163658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 235163658240 in words is "two hundred thirty-five billion, one hundred sixty-three million, six hundred fifty-eight thousand, two hundred forty".