505530102400 has 96 divisors (see below), whose sum is σ = 1253678581980. Its totient is φ = 201424896000.

The previous prime is 505530102397. The next prime is 505530102419. The reversal of 505530102400 is 4201035505.

It can be written as a sum of positive squares in 6 ways, for example, as 441310433344 + 64219669056 = 664312^2 + 253416^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 515050 + ... + 1129750.

Almost surely, 2^505530102400 is an apocalyptic number.

505530102400 is a gapful number since it is divisible by the number (50) 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 505530102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626839290990).

505530102400 is an abundant number, since it is smaller than the sum of its proper divisors (748148479580).

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

505530102400 is a wasteful number, since it uses less digits than its factorization.

505530102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614982 (or 614965 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 505530102400 its reverse (4201035505), we get a palindrome (509731137905).

The spelling of 505530102400 in words is "five hundred five billion, five hundred thirty million, one hundred two thousand, four hundred".