520938238464 has 640 divisors, whose sum is σ = 1878781893120. Its totient is φ = 139122966528.

The previous prime is 520938238439. The next prime is 520938238529. The reversal of 520938238464 is 464832839025.

520938238464 is a `hidden beast` number, since 520 + 9 + 3 + 82 + 38 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 520938238464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258272784 + ... + 258274800.

It is an arithmetic number, because the mean of its divisors is an integer number (2935596708).

Almost surely, 2^520938238464 is an apocalyptic number.

520938238464 is a gapful number since it is divisible by the number (54) 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 520938238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939390946560).

520938238464 is an abundant number, since it is smaller than the sum of its proper divisors (1357843654656).

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

520938238464 is a wasteful number, since it uses less digits than its factorization.

520938238464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 520938238464 in words is "five hundred twenty billion, nine hundred thirty-eight million, two hundred thirty-eight thousand, four hundred sixty-four".