255241314120000 has 560 divisors, whose sum is σ = 948315004560000. Its totient is φ = 60096943104000.

The previous prime is 255241314119969. The next prime is 255241314120007. The reversal of 255241314120000 is 21413142552.

255241314120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255241314120000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 255241314120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255241314120007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32323126 + ... + 39436874.

It is an arithmetic number, because the mean of its divisors is an integer number (1693419651000).

Almost surely, 2^{255241314120000} is an apocalyptic number.

255241314120000 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 255241314120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474157502280000).

255241314120000 is an abundant number, since it is smaller than the sum of its proper divisors (693073690440000).

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

255241314120000 is a wasteful number, since it uses less digits than its factorization.

255241314120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7113820 (or 7113795 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 255241314120000 its reverse (21413142552), we get a palindrome (255262727262552).

The spelling of 255241314120000 in words is "two hundred fifty-five trillion, two hundred forty-one billion, three hundred fourteen million, one hundred twenty thousand".