520355042400 has 288 divisors, whose sum is σ = 1736940578688. Its totient is φ = 135230771200.

The previous prime is 520355042393. The next prime is 520355042411. The reversal of 520355042400 is 4240553025.

It is a super-2 number, since 2×520355042400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114436927 + ... + 114441473.

It is an arithmetic number, because the mean of its divisors is an integer number (6031043676).

Almost surely, 2^520355042400 is an apocalyptic number.

520355042400 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 520355042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868470289344).

520355042400 is an abundant number, since it is smaller than the sum of its proper divisors (1216585536288).

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

520355042400 is a wasteful number, since it uses less digits than its factorization.

520355042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 520355042400 its reverse (4240553025), we get a palindrome (524595595425).

The spelling of 520355042400 in words is "five hundred twenty billion, three hundred fifty-five million, forty-two thousand, four hundred".