255563330400 has 864 divisors, whose sum is σ = 1119228364800. Its totient is φ = 53548646400.

The previous prime is 255563330311. The next prime is 255563330423. The reversal of 255563330400 is 4033365552.

255563330400 is a `hidden beast` number, since 2 + 5 + 556 + 33 + 30 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 29681296 + ... + 29689904.

It is an arithmetic number, because the mean of its divisors is an integer number (1295403200).

Almost surely, 2^255563330400 is an apocalyptic number.

255563330400 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 255563330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559614182400).

255563330400 is an abundant number, since it is smaller than the sum of its proper divisors (863665034400).

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

255563330400 is a wasteful number, since it uses less digits than its factorization.

255563330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 255563330400 its reverse (4033365552), we get a palindrome (259596695952).

The spelling of 255563330400 in words is "two hundred fifty-five billion, five hundred sixty-three million, three hundred thirty thousand, four hundred".