506438705500 has 96 divisors (see below), whose sum is σ = 1361307362688. Its totient is φ = 160279488000.

The previous prime is 506438705401. The next prime is 506438705501. The reversal of 506438705500 is 5507834605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506438705501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5519761 + ... + 5610760.

It is an arithmetic number, because the mean of its divisors is an integer number (14180285028).

Almost surely, 2^506438705500 is an apocalyptic number.

506438705500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506438705500 is an abundant number, since it is smaller than the sum of its proper divisors (854868657188).

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

506438705500 is a wasteful number, since it uses less digits than its factorization.

506438705500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11130560 (or 11130548 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 506438705500 in words is "five hundred six billion, four hundred thirty-eight million, seven hundred five thousand, five hundred".