505550105600 has 132 divisors (see below), whose sum is σ = 1282297935864. Its totient is φ = 197516820480.

The previous prime is 505550105591. The next prime is 505550105617. The reversal of 505550105600 is 6501055505.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 871172 + ... + 1330428.

It is an arithmetic number, because the mean of its divisors is an integer number (9714378302).

Almost surely, 2^505550105600 is an apocalyptic number.

505550105600 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 505550105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641148967932).

505550105600 is an abundant number, since it is smaller than the sum of its proper divisors (776747830264).

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

505550105600 is a wasteful number, since it uses less digits than its factorization.

505550105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459330 (or 459307 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 505550105600 in words is "five hundred five billion, five hundred fifty million, one hundred five thousand, six hundred".