506826523008 has 384 divisors, whose sum is σ = 1631855796480. Its totient is φ = 155654866944.

The previous prime is 506826522973. The next prime is 506826523031. The reversal of 506826523008 is 800325628605.

506826523008 is a `hidden beast` number, since 506 + 82 + 65 + 2 + 3 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332780935 + ... + 332782457.

It is an arithmetic number, because the mean of its divisors is an integer number (4249624470).

Almost surely, 2^506826523008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506826523008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815927898240).

506826523008 is an abundant number, since it is smaller than the sum of its proper divisors (1125029273472).

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

506826523008 is a wasteful number, since it uses less digits than its factorization.

506826523008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 506826523008 in words is "five hundred six billion, eight hundred twenty-six million, five hundred twenty-three thousand, eight".