520420831096320 has 5120 divisors, whose sum is σ = 2418273792000000. Its totient is φ = 105127888158720.

The previous prime is 520420831096297. The next prime is 520420831096393. The reversal of 520420831096320 is 23690138024025.

520420831096320 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 2 + 0 + 8 + 3 + 1 + 0 + 9 + 632 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2292602780047 + ... + 2292602780273.

It is an arithmetic number, because the mean of its divisors is an integer number (472319100000).

Almost surely, 2^{520420831096320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520420831096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209136896000000).

520420831096320 is an abundant number, since it is smaller than the sum of its proper divisors (1897852960903680).

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

520420831096320 is a wasteful number, since it uses less digits than its factorization.

520420831096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 520420831096320 in words is "five hundred twenty trillion, four hundred twenty billion, eight hundred thirty-one million, ninety-six thousand, three hundred twenty".