520214516640 has 2304 divisors, whose sum is σ = 2482020817920. Its totient is φ = 99970744320.

The previous prime is 520214516639. The next prime is 520214516699. The reversal of 520214516640 is 46615412025.

520214516640 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 1 + 4 + 5 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 520214516595 and 520214516604.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16781113425 + ... + 16781113455.

It is an arithmetic number, because the mean of its divisors is an integer number (1077265980).

Almost surely, 2^520214516640 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 520214516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241010408960).

520214516640 is an abundant number, since it is smaller than the sum of its proper divisors (1961806301280).

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

520214516640 is a wasteful number, since it uses less digits than its factorization.

520214516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 520214516640 its reverse (46615412025), we get a palindrome (566829928665).

The spelling of 520214516640 in words is "five hundred twenty billion, two hundred fourteen million, five hundred sixteen thousand, six hundred forty".