520405401600 has 1620 divisors, whose sum is σ = 2252050744944. Its totient is φ = 114449448960.

The previous prime is 520405401577. The next prime is 520405401617. The reversal of 520405401600 is 6104504025.

520405401600 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 0 + 54 + 0 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7767244767 + ... + 7767244833.

Almost surely, 2^520405401600 is an apocalyptic number.

520405401600 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 520405401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126025372472).

520405401600 is an abundant number, since it is smaller than the sum of its proper divisors (1731645343344).

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

520405401600 is a wasteful number, since it uses less digits than its factorization.

520405401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 520405401600 its reverse (6104504025), we get a palindrome (526509905625).

The spelling of 520405401600 in words is "five hundred twenty billion, four hundred five million, four hundred one thousand, six hundred".