235385765112960 has 960 divisors, whose sum is σ = 1055966893248960. Its totient is φ = 48911318691840.

The previous prime is 235385765112959. The next prime is 235385765113013. The reversal of 235385765112960 is 69211567583532.

235385765112960 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 8 + 57 + 6 + 511 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41228067 + ... + 46588893.

It is an arithmetic number, because the mean of its divisors is an integer number (1099965513801).

Almost surely, 2^{235385765112960} is an apocalyptic number.

235385765112960 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 235385765112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527983446624480).

235385765112960 is an abundant number, since it is smaller than the sum of its proper divisors (820581128136000).

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

235385765112960 is a wasteful number, since it uses less digits than its factorization.

235385765112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360887 (or 5360855 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 235385765112960 in words is "two hundred thirty-five trillion, three hundred eighty-five billion, seven hundred sixty-five million, one hundred twelve thousand, nine hundred sixty".