235552112640 has 448 divisors, whose sum is σ = 901943128800. Its totient is φ = 57982058496.

The previous prime is 235552112629. The next prime is 235552112641. The reversal of 235552112640 is 46211255532.

235552112640 is a `hidden beast` number, since 2 + 3 + 5 + 5 + 5 + 2 + 1 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 235552112595 and 235552112604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235552112641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18119393274 + ... + 18119393286.

Almost surely, 2^235552112640 is an apocalyptic number.

235552112640 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 235552112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450971564400).

235552112640 is an abundant number, since it is smaller than the sum of its proper divisors (666391016160).

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

235552112640 is an frugal number, since it uses more digits than its factorization.

235552112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 235552112640 in words is "two hundred thirty-five billion, five hundred fifty-two million, one hundred twelve thousand, six hundred forty".