506891608064 has 112 divisors (see below), whose sum is σ = 1070573740992. Its totient is φ = 239498231808.

The previous prime is 506891608061. The next prime is 506891608099. The reversal of 506891608064 is 460806198605.

It is a junction number, because it is equal to n+sod(n) for n = 506891607997 and 506891608015.

It is not an unprimeable number, because it can be changed into a prime (506891608061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15622322 + ... + 15654734.

It is an arithmetic number, because the mean of its divisors is an integer number (9558694116).

Almost surely, 2^506891608064 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 506891608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535286870496).

506891608064 is an abundant number, since it is smaller than the sum of its proper divisors (563682132928).

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

506891608064 is an equidigital number, since it uses as much as digits as its factorization.

506891608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32545 (or 32521 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 506891608064 in words is "five hundred six billion, eight hundred ninety-one million, six hundred eight thousand, sixty-four".