505571328000 has 960 divisors, whose sum is σ = 1923616880640. Its totient is φ = 130940928000.

The previous prime is 505571327969. The next prime is 505571328019. The reversal of 505571328000 is 823175505.

505571328000 is a `hidden beast` number, since 5 + 0 + 5 + 571 + 3 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2267135889 + ... + 2267136111.

It is an arithmetic number, because the mean of its divisors is an integer number (2003767584).

Almost surely, 2^505571328000 is an apocalyptic number.

505571328000 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 505571328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961808440320).

505571328000 is an abundant number, since it is smaller than the sum of its proper divisors (1418045552640).

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

505571328000 is an equidigital number, since it uses as much as digits as its factorization.

505571328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 505571328000 in words is "five hundred five billion, five hundred seventy-one million, three hundred twenty-eight thousand".