506042204560 has 80 divisors (see below), whose sum is σ = 1241903727360. Its totient is φ = 191763153792.

The previous prime is 506042204533. The next prime is 506042204567. The reversal of 506042204560 is 65402240605.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (506042204567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87609 + ... + 1009831.

It is an arithmetic number, because the mean of its divisors is an integer number (15523796592).

Almost surely, 2^506042204560 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 506042204560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620951863680).

506042204560 is an abundant number, since it is smaller than the sum of its proper divisors (735861522800).

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

506042204560 is an equidigital number, since it uses as much as digits as its factorization.

506042204560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922293 (or 922249 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 506042204560 in words is "five hundred six billion, forty-two million, two hundred four thousand, five hundred sixty".