500805806400 has 336 divisors, whose sum is σ = 1832257122880. Its totient is φ = 133062912000.

The previous prime is 500805806387. The next prime is 500805806419. The reversal of 500805806400 is 4608508005.

It is a happy number.

500805806400 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 0 + 5 + 8 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11945475 + ... + 11987325.

Almost surely, 2^500805806400 is an apocalyptic number.

500805806400 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 500805806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916128561440).

500805806400 is an abundant number, since it is smaller than the sum of its proper divisors (1331451316480).

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

500805806400 is a wasteful number, since it uses less digits than its factorization.

500805806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42159 (or 42138 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 500805806400 in words is "five hundred billion, eight hundred five million, eight hundred six thousand, four hundred".