255505310400 has 252 divisors, whose sum is σ = 856520901128. Its totient is φ = 66682306560.

The previous prime is 255505310383. The next prime is 255505310407. The reversal of 255505310400 is 4013505552.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (255505310407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10591152 + ... + 10615248.

Almost surely, 2^255505310400 is an apocalyptic number.

255505310400 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 255505310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428260450564).

255505310400 is an abundant number, since it is smaller than the sum of its proper divisors (601015590728).

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

255505310400 is a wasteful number, since it uses less digits than its factorization.

255505310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24216 (or 24154 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

Adding to 255505310400 its reverse (4013505552), we get a palindrome (259518815952).

The spelling of 255505310400 in words is "two hundred fifty-five billion, five hundred five million, three hundred ten thousand, four hundred".