520115360400 has 360 divisors, whose sum is σ = 1928056183560. Its totient is φ = 129381826560.

The previous prime is 520115360399. The next prime is 520115360461. The reversal of 520115360400 is 4063511025.

520115360400 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 1 + 53 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 97703755776 + 422411604624 = 312576^2 + 649932^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6877996 + ... + 6953204.

It is an arithmetic number, because the mean of its divisors is an integer number (5355711621).

Almost surely, 2^520115360400 is an apocalyptic number.

520115360400 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 520115360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964028091780).

520115360400 is an abundant number, since it is smaller than the sum of its proper divisors (1407940823160).

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

520115360400 is a wasteful number, since it uses less digits than its factorization.

520115360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75363 (or 75349 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 520115360400 its reverse (4063511025), we get a palindrome (524178871425).

The spelling of 520115360400 in words is "five hundred twenty billion, one hundred fifteen million, three hundred sixty thousand, four hundred".