501134422800 has 360 divisors, whose sum is σ = 1807562121120. Its totient is φ = 118522624000.

The previous prime is 501134422781. The next prime is 501134422801. The reversal of 501134422800 is 8224431105.

It is a super-2 number, since 2×501134422800² (a number of 24 digits) contains 22 as substring.

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 (501134422801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5911111 + ... + 5995289.

It is an arithmetic number, because the mean of its divisors is an integer number (5021005892).

Almost surely, 2^501134422800 is an apocalyptic number.

501134422800 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 501134422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903781060560).

501134422800 is an abundant number, since it is smaller than the sum of its proper divisors (1306427698320).

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

501134422800 is a wasteful number, since it uses less digits than its factorization.

501134422800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84263 (or 84241 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 501134422800 its reverse (8224431105), we get a palindrome (509358853905).

The spelling of 501134422800 in words is "five hundred one billion, one hundred thirty-four million, four hundred twenty-two thousand, eight hundred".