505545055650 has 288 divisors, whose sum is σ = 1493048278080. Its totient is φ = 125748080640.

The previous prime is 505545055649. The next prime is 505545055657. The reversal of 505545055650 is 56550545505.

505545055650 is a `hidden beast` number, since 5 + 0 + 5 + 5 + 45 + 0 + 556 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 505545055596 and 505545055605.

It is not an unprimeable number, because it can be changed into a prime (505545055657) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44081217 + ... + 44092683.

It is an arithmetic number, because the mean of its divisors is an integer number (5184195410).

Almost surely, 2^505545055650 is an apocalyptic number.

505545055650 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505545055650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746524139040).

505545055650 is an abundant number, since it is smaller than the sum of its proper divisors (987503222430).

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

505545055650 is a wasteful number, since it uses less digits than its factorization.

505545055650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11635 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 1875000, while the sum is 45.

The spelling of 505545055650 in words is "five hundred five billion, five hundred forty-five million, fifty-five thousand, six hundred fifty".