255331110400 has 240 divisors, whose sum is σ = 649283336064. Its totient is φ = 99454279680.

The previous prime is 255331110383. The next prime is 255331110403. The reversal of 255331110400 is 4011133552.

It is a happy number.

255331110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255331110403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 287858757 + ... + 287859643.

Almost surely, 2^255331110400 is an apocalyptic number.

255331110400 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 255331110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324641668032).

255331110400 is an abundant number, since it is smaller than the sum of its proper divisors (393952225664).

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

255331110400 is an equidigital number, since it uses as much as digits as its factorization.

255331110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 255331110400 its reverse (4011133552), we get a palindrome (259342243952).

The spelling of 255331110400 in words is "two hundred fifty-five billion, three hundred thirty-one million, one hundred ten thousand, four hundred".