520483880261664 has 1152 divisors, whose sum is σ = 1717731787161600. Its totient is φ = 153159803596800.

The previous prime is 520483880261651. The next prime is 520483880261699. The reversal of 520483880261664 is 466162088384025.

520483880261664 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 8 + 3 + 8 + 8 + 0 + 2 + 616 + 6 + 4 = 666.

It is a super-2 number, since 2×520483880261664² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259852160887 + ... + 259852162889.

It is an arithmetic number, because the mean of its divisors is an integer number (1491086620800).

Almost surely, 2^{520483880261664} is an apocalyptic number.

520483880261664 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 520483880261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858865893580800).

520483880261664 is an abundant number, since it is smaller than the sum of its proper divisors (1197247906899936).

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

520483880261664 is a wasteful number, since it uses less digits than its factorization.

520483880261664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 520483880261664 in words is "five hundred twenty trillion, four hundred eighty-three billion, eight hundred eighty million, two hundred sixty-one thousand, six hundred sixty-four".