235361825610912 has 1728 divisors, whose sum is σ = 960604381900800. Its totient is φ = 55715079813120.

The previous prime is 235361825610853. The next prime is 235361825610913. The reversal of 235361825610912 is 219016528163532.

235361825610912 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 6 + 1 + 8 + 2 + 5 + 610 + 9 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (235361825610913) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4304400789 + ... + 4304455467.

It is an arithmetic number, because the mean of its divisors is an integer number (555905313600).

Almost surely, 2^{235361825610912} is an apocalyptic number.

235361825610912 is a gapful number since it is divisible by the number (22) 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 235361825610912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480302190950400).

235361825610912 is an abundant number, since it is smaller than the sum of its proper divisors (725242556289888).

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

235361825610912 is a wasteful number, since it uses less digits than its factorization.

235361825610912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54821 (or 54794 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 235361825610912 in words is "two hundred thirty-five trillion, three hundred sixty-one billion, eight hundred twenty-five million, six hundred ten thousand, nine hundred twelve".