235268997120 has 440 divisors, whose sum is σ = 846527785884. Its totient is φ = 62511906816.

The previous prime is 235268997101. The next prime is 235268997241. The reversal of 235268997120 is 21799862532.

235268997120 is a `hidden beast` number, since 2 + 3 + 526 + 8 + 9 + 97 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 220915040256 + 14353956864 = 470016^2 + 119808^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 849346422 + ... + 849346698.

Almost surely, 2^235268997120 is an apocalyptic number.

235268997120 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 235268997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423263892942).

235268997120 is an abundant number, since it is smaller than the sum of its proper divisors (611258788764).

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

235268997120 is an frugal number, since it uses more digits than its factorization.

235268997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 235268997120 in words is "two hundred thirty-five billion, two hundred sixty-eight million, nine hundred ninety-seven thousand, one hundred twenty".