255152204442400 has 144 divisors (see below), whose sum is σ = 629972338252320. Its totient is φ = 100900792678400.

The previous prime is 255152204442361. The next prime is 255152204442463. The reversal of 255152204442400 is 4244402251552.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547366227 + ... + 547832173.

It is an arithmetic number, because the mean of its divisors is an integer number (4374807904530).

Almost surely, 2^{255152204442400} is an apocalyptic number.

255152204442400 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 255152204442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314986169126160).

255152204442400 is an abundant number, since it is smaller than the sum of its proper divisors (374820133809920).

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

255152204442400 is a wasteful number, since it uses less digits than its factorization.

255152204442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473747 (or 473734 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 255152204442400 its reverse (4244402251552), we get a palindrome (259396606693952).

The spelling of 255152204442400 in words is "two hundred fifty-five trillion, one hundred fifty-two billion, two hundred four million, four hundred forty-two thousand, four hundred".