505501105600 has 84 divisors (see below), whose sum is σ = 1244209921024. Its totient is φ = 202141716480.

The previous prime is 505501105589. The next prime is 505501105679. The reversal of 505501105600 is 6501105505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5688712 + ... + 5776888.

Almost surely, 2^505501105600 is an apocalyptic number.

505501105600 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 505501105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622104960512).

505501105600 is an abundant number, since it is smaller than the sum of its proper divisors (738708815424).

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

505501105600 is a wasteful number, since it uses less digits than its factorization.

505501105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91782 (or 91767 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 505501105600 in words is "five hundred five billion, five hundred one million, one hundred five thousand, six hundred".