255218040000 has 2520 divisors, whose sum is σ = 1229271307264. Its totient is φ = 51321600000.

The previous prime is 255218039981. The next prime is 255218040017. The reversal of 255218040000 is 40812552.

It is a happy number.

255218040000 is a `hidden beast` number, since 25 + 521 + 80 + 40 + 0 + 0 + 0 = 666.

255218040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8232839985 + ... + 8232840015.

Almost surely, 2^255218040000 is an apocalyptic number.

255218040000 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 255218040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614635653632).

255218040000 is an abundant number, since it is smaller than the sum of its proper divisors (974053267264).

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

255218040000 is an equidigital number, since it uses as much as digits as its factorization.

255218040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 255218040000 its reverse (40812552), we get a palindrome (255258852552).

The spelling of 255218040000 in words is "two hundred fifty-five billion, two hundred eighteen million, forty thousand".