520421690880 has 2560 divisors, whose sum is σ = 2502559825920. Its totient is φ = 99373547520.

The previous prime is 520421690861. The next prime is 520421690969. The reversal of 520421690880 is 88096124025.

520421690880 is a `hidden beast` number, since 520 + 42 + 1 + 6 + 9 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3314787762 + ... + 3314787918.

It is an arithmetic number, because the mean of its divisors is an integer number (977562432).

Almost surely, 2^520421690880 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 520421690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251279912960).

520421690880 is an abundant number, since it is smaller than the sum of its proper divisors (1982138135040).

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

520421690880 is a wasteful number, since it uses less digits than its factorization.

520421690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 520421690880 in words is "five hundred twenty billion, four hundred twenty-one million, six hundred ninety thousand, eight hundred eighty".