505153322400 has 288 divisors, whose sum is σ = 1659943756800. Its totient is φ = 133429939200.

The previous prime is 505153322383. The next prime is 505153322431. The reversal of 505153322400 is 4223351505.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116419431 + ... + 116423769.

It is an arithmetic number, because the mean of its divisors is an integer number (5763693600).

Almost surely, 2^505153322400 is an apocalyptic number.

505153322400 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 505153322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829971878400).

505153322400 is an abundant number, since it is smaller than the sum of its proper divisors (1154790434400).

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

505153322400 is a wasteful number, since it uses less digits than its factorization.

505153322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 505153322400 its reverse (4223351505), we get a palindrome (509376673905).

The spelling of 505153322400 in words is "five hundred five billion, one hundred fifty-three million, three hundred twenty-two thousand, four hundred".