255618220032 has 720 divisors, whose sum is σ = 909190188855. Its totient is φ = 69189894144.

The previous prime is 255618220031. The next prime is 255618220063. The reversal of 255618220032 is 230022816552.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

255618220032 is a `hidden beast` number, since 2 + 5 + 5 + 618 + 2 + 2 + 0 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127809110016 + 127809110016 = 357504^2 + 357504^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=357504.

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

It is not an unprimeable number, because it can be changed into a prime (255618220031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13453590519 + ... + 13453590537.

Almost surely, 2^255618220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255618220032

255618220032 is an abundant number, since it is smaller than the sum of its proper divisors (653571968823).

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

255618220032 is an frugal number, since it uses more digits than its factorization.

255618220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 255618220032 in words is "two hundred fifty-five billion, six hundred eighteen million, two hundred twenty thousand, thirty-two".