520461564480 has 896 divisors, whose sum is σ = 2270696601600. Its totient is φ = 110332108800.

The previous prime is 520461564473. The next prime is 520461564521. The reversal of 520461564480 is 84465164025.

It is a happy number.

520461564480 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 6 + 1 + 564 + 4 + 80 = 666.

520461564480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23463795 + ... + 23485965.

It is an arithmetic number, because the mean of its divisors is an integer number (2534259600).

Almost surely, 2^520461564480 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 520461564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135348300800).

520461564480 is an abundant number, since it is smaller than the sum of its proper divisors (1750235037120).

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

520461564480 is a wasteful number, since it uses less digits than its factorization.

520461564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22240 (or 22224 counting only the distinct ones).

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

The spelling of 520461564480 in words is "five hundred twenty billion, four hundred sixty-one million, five hundred sixty-four thousand, four hundred eighty".