506075960160 has 576 divisors, whose sum is σ = 1823030157312. Its totient is φ = 132559773696.

The previous prime is 506075960119. The next prime is 506075960167. The reversal of 506075960160 is 61069570605.

506075960160 is a `hidden beast` number, since 50 + 6 + 0 + 7 + 596 + 0 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×506075960160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506075960167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557966427 + ... + 557967333.

It is an arithmetic number, because the mean of its divisors is an integer number (3164982912).

Almost surely, 2^506075960160 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 506075960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911515078656).

506075960160 is an abundant number, since it is smaller than the sum of its proper divisors (1316954197152).

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

506075960160 is a wasteful number, since it uses less digits than its factorization.

506075960160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 506075960160 in words is "five hundred six billion, seventy-five million, nine hundred sixty thousand, one hundred sixty".