520828414848 has 384 divisors, whose sum is σ = 1829090764800. Its totient is φ = 139040133120.

The previous prime is 520828414837. The next prime is 520828414901. The reversal of 520828414848 is 848414828025.

It is a happy number.

520828414848 is a `hidden beast` number, since 5 + 2 + 0 + 82 + 84 + 1 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 520828414794 and 520828414803.

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 47 ways as a sum of consecutive naturals, for example, 7213615 + ... + 7285457.

It is an arithmetic number, because the mean of its divisors is an integer number (4763257200).

Almost surely, 2^520828414848 is an apocalyptic number.

520828414848 is a gapful number since it is divisible by the number (58) 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 520828414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914545382400).

520828414848 is an abundant number, since it is smaller than the sum of its proper divisors (1308262349952).

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

520828414848 is a wasteful number, since it uses less digits than its factorization.

520828414848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71930 (or 71915 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 54.

The spelling of 520828414848 in words is "five hundred twenty billion, eight hundred twenty-eight million, four hundred fourteen thousand, eight hundred forty-eight".