235085353920 has 504 divisors, whose sum is σ = 860447126448. Its totient is φ = 61138022400.

The previous prime is 235085353907. The next prime is 235085353957. The reversal of 235085353920 is 29353580532.

235085353920 is a `hidden beast` number, since 2 + 3 + 508 + 5 + 3 + 53 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86078955 + ... + 86081685.

It is an arithmetic number, because the mean of its divisors is an integer number (1707236362).

Almost surely, 2^235085353920 is an apocalyptic number.

235085353920 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 235085353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430223563224).

235085353920 is an abundant number, since it is smaller than the sum of its proper divisors (625361772528).

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

235085353920 is an frugal number, since it uses more digits than its factorization.

235085353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 235085353920 in words is "two hundred thirty-five billion, eighty-five million, three hundred fifty-three thousand, nine hundred twenty".