511350304000000 has 336 divisors, whose sum is σ = 1281758263596720. Its totient is φ = 203946240000000.

The previous prime is 511350303999947. The next prime is 511350304000001. The reversal of 511350304000000 is 403053115.

It is a happy number.

It is a super-2 number, since 2×511350304000000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511350304000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11103976975 + ... + 11104023025.

It is an arithmetic number, because the mean of its divisors is an integer number (3814756736895).

Almost surely, 2^{511350304000000} is an apocalyptic number.

511350304000000 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 511350304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640879131798360).

511350304000000 is an abundant number, since it is smaller than the sum of its proper divisors (770407959596720).

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

511350304000000 is an frugal number, since it uses more digits than its factorization.

511350304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46450 (or 46405 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 511350304000000 its reverse (403053115), we get a palindrome (511350707053115).

The spelling of 511350304000000 in words is "five hundred eleven trillion, three hundred fifty billion, three hundred four million", and thus it is an aban number.