255536848635552 has 864 divisors, whose sum is σ = 819414912476160. Its totient is φ = 75461699174400.

The previous prime is 255536848635487. The next prime is 255536848635553.

It is a happy number.

255536848635552 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 3 + 6 + 8 + 4 + 8 + 63 + 5 + 552 = 666.

255536848635552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (255536848635553) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86068320724 + ... + 86068323692.

It is an arithmetic number, because the mean of its divisors is an integer number (948396889440).

Almost surely, 2^{255536848635552} is an apocalyptic number.

255536848635552 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 255536848635552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409707456238080).

255536848635552 is an abundant number, since it is smaller than the sum of its proper divisors (563878063840608).

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

255536848635552 is a wasteful number, since it uses less digits than its factorization.

255536848635552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3436 counting only the distinct ones).

The product of its digits is 5184000000, while the sum is 72.

The spelling of 255536848635552 in words is "two hundred fifty-five trillion, five hundred thirty-six billion, eight hundred forty-eight million, six hundred thirty-five thousand, five hundred fifty-two".