235059040993920 has 1024 divisors, whose sum is σ = 919875439042560. Its totient is φ = 50284100321280.

The previous prime is 235059040993883. The next prime is 235059040993939. The reversal of 235059040993920 is 29399040950532.

It is a super-2 number, since 2×235059040993920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 554673952 + ... + 555097568.

It is an arithmetic number, because the mean of its divisors is an integer number (898315858440).

Almost surely, 2^{235059040993920} is an apocalyptic number.

235059040993920 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 235059040993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459937719521280).

235059040993920 is an abundant number, since it is smaller than the sum of its proper divisors (684816398048640).

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

235059040993920 is a wasteful number, since it uses less digits than its factorization.

235059040993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423753 (or 423741 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 60.

The spelling of 235059040993920 in words is "two hundred thirty-five trillion, fifty-nine billion, forty million, nine hundred ninety-three thousand, nine hundred twenty".