506723711800 has 48 divisors (see below), whose sum is σ = 1193045738400. Its totient is φ = 200123788800.

The previous prime is 506723711719. The next prime is 506723711801. The reversal of 506723711800 is 8117327605.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506723711801) 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 11 ways as a sum of consecutive naturals, for example, 16019761 + ... + 16051360.

It is an arithmetic number, because the mean of its divisors is an integer number (24855119550).

Almost surely, 2^506723711800 is an apocalyptic number.

506723711800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506723711800 is an abundant number, since it is smaller than the sum of its proper divisors (686322026600).

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

506723711800 is a wasteful number, since it uses less digits than its factorization.

506723711800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32071216 (or 32071207 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 506723711800 in words is "five hundred six billion, seven hundred twenty-three million, seven hundred eleven thousand, eight hundred".