505000105500 has 384 divisors, whose sum is σ = 1686009701376. Its totient is φ = 116339328000.

The previous prime is 505000105427. The next prime is 505000105507. The reversal of 505000105500 is 5501000505.

It is a super-2 number, since 2×505000105500² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505000105507) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26241882 + ... + 26261118.

It is an arithmetic number, because the mean of its divisors is an integer number (4390650264).

Almost surely, 2^505000105500 is an apocalyptic number.

505000105500 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 505000105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843004850688).

505000105500 is an abundant number, since it is smaller than the sum of its proper divisors (1181009595876).

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

505000105500 is a wasteful number, since it uses less digits than its factorization.

505000105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19350 (or 19338 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 21.

The spelling of 505000105500 in words is "five hundred five billion, one hundred five thousand, five hundred".