511340542400 has 84 divisors (see below), whose sum is σ = 1261503996672. Its totient is φ = 204001935360.

The previous prime is 511340542381. The next prime is 511340542421. The reversal of 511340542400 is 4245043115.

It is a super-2 number, since 2×511340542400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 195584 + ... + 1030016.

Almost surely, 2^511340542400 is an apocalyptic number.

511340542400 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 511340542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630751998336).

511340542400 is an abundant number, since it is smaller than the sum of its proper divisors (750163454272).

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

511340542400 is a wasteful number, since it uses less digits than its factorization.

511340542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834838 (or 834823 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 511340542400 its reverse (4245043115), we get a palindrome (515585585515).

The spelling of 511340542400 in words is "five hundred eleven billion, three hundred forty million, five hundred forty-two thousand, four hundred".