520438564800000 has 7680 divisors, whose sum is σ = 2553244581888000. Its totient is φ = 103638528000000.

The previous prime is 520438564799981. The next prime is 520438564800041. The reversal of 520438564800000 is 8465834025.

520438564800000 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 3 + 8 + 564 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 767 ways as a sum of consecutive naturals, for example, 5052801599949 + ... + 5052801600051.

It is an arithmetic number, because the mean of its divisors is an integer number (332453721600).

Almost surely, 2^{520438564800000} is an apocalyptic number.

520438564800000 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 520438564800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276622290944000).

520438564800000 is an abundant number, since it is smaller than the sum of its proper divisors (2032806017088000).

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

520438564800000 is an equidigital number, since it uses as much as digits as its factorization.

520438564800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 520438564800000 in words is "five hundred twenty trillion, four hundred thirty-eight billion, five hundred sixty-four million, eight hundred thousand".