520252377984 has 256 divisors, whose sum is σ = 1622027174400. Its totient is φ = 165875516928.

The previous prime is 520252377947. The next prime is 520252377989. The reversal of 520252377984 is 489773252025.

520252377984 is a `hidden beast` number, since 5 + 20 + 2 + 523 + 7 + 7 + 98 + 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 520252377984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520252377989) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6398127 + ... + 6478929.

It is an arithmetic number, because the mean of its divisors is an integer number (6336043650).

Almost surely, 2^520252377984 is an apocalyptic number.

520252377984 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 520252377984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811013587200).

520252377984 is an abundant number, since it is smaller than the sum of its proper divisors (1101774796416).

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

520252377984 is an frugal number, since it uses more digits than its factorization.

520252377984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80861 (or 80831 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 520252377984 in words is "five hundred twenty billion, two hundred fifty-two million, three hundred seventy-seven thousand, nine hundred eighty-four".