506370775560 has 128 divisors (see below), whose sum is σ = 1642050144000. Its totient is φ = 124181646336.

The previous prime is 506370775513. The next prime is 506370775567. The reversal of 506370775560 is 65577073605.

It is a super-3 number, since 3×506370775560³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (506370775567) 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, 183700 + ... + 1022979.

It is an arithmetic number, because the mean of its divisors is an integer number (12828516750).

Almost surely, 2^506370775560 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 506370775560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821025072000).

506370775560 is an abundant number, since it is smaller than the sum of its proper divisors (1135679368440).

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

506370775560 is a wasteful number, since it uses less digits than its factorization.

506370775560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206975 (or 1206971 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 51.

The spelling of 506370775560 in words is "five hundred six billion, three hundred seventy million, seven hundred seventy-five thousand, five hundred sixty".