520434061200 has 480 divisors, whose sum is σ = 1898086014720. Its totient is φ = 135397785600.

The previous prime is 520434061109. The next prime is 520434061289. The reversal of 520434061200 is 2160434025.

520434061200 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 3 + 40 + 612 + 0 + 0 = 666.

It is a super-3 number, since 3×520434061200³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74376102 + ... + 74383098.

It is an arithmetic number, because the mean of its divisors is an integer number (3954345864).

Almost surely, 2^520434061200 is an apocalyptic number.

520434061200 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 520434061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949043007360).

520434061200 is an abundant number, since it is smaller than the sum of its proper divisors (1377651953520).

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

520434061200 is a wasteful number, since it uses less digits than its factorization.

520434061200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7192 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 520434061200 its reverse (2160434025), we get a palindrome (522594495225).

The spelling of 520434061200 in words is "five hundred twenty billion, four hundred thirty-four million, sixty-one thousand, two hundred".