505501056000 has 528 divisors, whose sum is σ = 1846870672608. Its totient is φ = 132931584000.

The previous prime is 505501055981. The next prime is 505501056001. The reversal of 505501056000 is 650105505.

505501056000 is a `hidden beast` number, since 5 + 0 + 5 + 50 + 1 + 0 + 5 + 600 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505501056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84092995 + ... + 84099005.

Almost surely, 2^505501056000 is an apocalyptic number.

505501056000 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 505501056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923435336304).

505501056000 is an abundant number, since it is smaller than the sum of its proper divisors (1341369616608).

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

505501056000 is a wasteful number, since it uses less digits than its factorization.

505501056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 505501056000 in words is "five hundred five billion, five hundred one million, fifty-six thousand".