505399910400 has 1344 divisors, whose sum is σ = 2316875996160. Its totient is φ = 104929689600.

The previous prime is 505399910363. The next prime is 505399910447. The reversal of 505399910400 is 4019993505.

It is a happy number.

505399910400 is a `hidden beast` number, since 5 + 0 + 539 + 9 + 9 + 104 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425778607 + ... + 425779793.

Almost surely, 2^505399910400 is an apocalyptic number.

505399910400 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 505399910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158437998080).

505399910400 is an abundant number, since it is smaller than the sum of its proper divisors (1811476085760).

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

505399910400 is a wasteful number, since it uses less digits than its factorization.

505399910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 505399910400 in words is "five hundred five billion, three hundred ninety-nine million, nine hundred ten thousand, four hundred".