505849008000 has 2048 divisors, whose sum is σ = 2199674880000. Its totient is φ = 100063641600.

The previous prime is 505849007929. The next prime is 505849008023. The reversal of 505849008000 is 800948505.

It is a self number, because there is not a number n which added to its sum of digits gives 505849008000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6403151961 + ... + 6403152039.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060000).

Almost surely, 2^505849008000 is an apocalyptic number.

505849008000 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 505849008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099837440000).

505849008000 is an abundant number, since it is smaller than the sum of its proper divisors (1693825872000).

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

505849008000 is a wasteful number, since it uses less digits than its factorization.

505849008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 505849008000 in words is "five hundred five billion, eight hundred forty-nine million, eight thousand".