506055606100 has 72 divisors (see below), whose sum is σ = 1198948012416. Its totient is φ = 183870240000.

The previous prime is 506055606083. The next prime is 506055606103. The reversal of 506055606100 is 1606550605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506055606103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1167240 + ... + 1540960.

It is an arithmetic number, because the mean of its divisors is an integer number (16652055728).

Almost surely, 2^506055606100 is an apocalyptic number.

506055606100 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 506055606100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599474006208).

506055606100 is an abundant number, since it is smaller than the sum of its proper divisors (692892406316).

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

506055606100 is a wasteful number, since it uses less digits than its factorization.

506055606100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374977 (or 374970 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 506055606100 in words is "five hundred six billion, fifty-five million, six hundred six thousand, one hundred".