255531606135552 has 72 divisors (see below), whose sum is σ = 755651913997680. Its totient is φ = 85177202042880.

The previous prime is 255531606135527. The next prime is 255531606135577.

255531606135552 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 3 + 16 + 0 + 613 + 5 + 5 + 5 + 2 = 666.

255531606135552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (255531606135527) and next prime (255531606135577).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18484628949 + ... + 18484642772.

It is an arithmetic number, because the mean of its divisors is an integer number (10495165472190).

Almost surely, 2^{255531606135552} is an apocalyptic number.

It is an amenable number.

255531606135552 is an abundant number, since it is smaller than the sum of its proper divisors (500120307862128).

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

255531606135552 is an equidigital number, since it uses as much as digits as its factorization.

255531606135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36969271746 (or 36969271726 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 54.

The spelling of 255531606135552 in words is "two hundred fifty-five trillion, five hundred thirty-one billion, six hundred six million, one hundred thirty-five thousand, five hundred fifty-two".