505006550010 has 96 divisors (see below), whose sum is σ = 1332095611392. Its totient is φ = 132713306880.

The previous prime is 505006549987. The next prime is 505006550051. The reversal of 505006550010 is 10055600505.

505006550010 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 0 + 655 + 0 + 0 + 1 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15620182 + ... + 15652478.

It is an arithmetic number, because the mean of its divisors is an integer number (13875995952).

Almost surely, 2^505006550010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505006550010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666047805696).

505006550010 is an abundant number, since it is smaller than the sum of its proper divisors (827089061382).

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

505006550010 is a wasteful number, since it uses less digits than its factorization.

505006550010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34828 (or 34825 counting only the distinct ones).

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

The spelling of 505006550010 in words is "five hundred five billion, six million, five hundred fifty thousand, ten".