520259930400 has 2304 divisors, whose sum is σ = 2279854080000. Its totient is φ = 102419251200.

The previous prime is 520259930327. The next prime is 520259930473. The reversal of 520259930400 is 4039952025.

It is an interprime number because it is at equal distance from previous prime (520259930327) and next prime (520259930473).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14061079182 + ... + 14061079218.

It is an arithmetic number, because the mean of its divisors is an integer number (989520000).

Almost surely, 2^520259930400 is an apocalyptic number.

520259930400 is a gapful number since it is divisible by the number (50) 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 520259930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040000).

520259930400 is an abundant number, since it is smaller than the sum of its proper divisors (1759594149600).

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

520259930400 is a wasteful number, since it uses less digits than its factorization.

520259930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 520259930400 in words is "five hundred twenty billion, two hundred fifty-nine million, nine hundred thirty thousand, four hundred".