505080576000 has 3072 divisors, whose sum is σ = 2541379276800. Its totient is φ = 95551488000.

The previous prime is 505080575983. The next prime is 505080576037. The reversal of 505080576000 is 675080505.

505080576000 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 80 + 576 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6918911964 + ... + 6918912036.

It is an arithmetic number, because the mean of its divisors is an integer number (827271900).

Almost surely, 2^505080576000 is an apocalyptic number.

505080576000 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 505080576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270689638400).

505080576000 is an abundant number, since it is smaller than the sum of its proper divisors (2036298700800).

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

505080576000 is a wasteful number, since it uses less digits than its factorization.

505080576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

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

The spelling of 505080576000 in words is "five hundred five billion, eighty million, five hundred seventy-six thousand".