255342262243552 has 72 divisors (see below), whose sum is σ = 553482603954000. Its totient is φ = 115870899555840.

The previous prime is 255342262243507. The next prime is 255342262243553.

255342262243552 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 255342262243552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255342262243553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52727277 + ... + 57365932.

It is an arithmetic number, because the mean of its divisors is an integer number (7687258388250).

Almost surely, 2^{255342262243552} is an apocalyptic number.

255342262243552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255342262243552 is an abundant number, since it is smaller than the sum of its proper divisors (298140341710448).

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

255342262243552 is a wasteful number, since it uses less digits than its factorization.

255342262243552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110093840 (or 110093821 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 52.

The spelling of 255342262243552 in words is "two hundred fifty-five trillion, three hundred forty-two billion, two hundred sixty-two million, two hundred forty-three thousand, five hundred fifty-two".