516315405060 has 720 divisors, whose sum is σ = 2053631809152. Its totient is φ = 106263705600.

The previous prime is 516315405049. The next prime is 516315405061. The reversal of 516315405060 is 60504513615.

516315405060 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 1 + 540 + 50 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (516315405061) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 78571575 + ... + 78578145.

Almost surely, 2^516315405060 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 516315405060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026815904576).

516315405060 is an abundant number, since it is smaller than the sum of its proper divisors (1537316404092).

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

516315405060 is a wasteful number, since it uses less digits than its factorization.

516315405060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6666 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 516315405060 its reverse (60504513615), we get a palindrome (576819918675).

The spelling of 516315405060 in words is "five hundred sixteen billion, three hundred fifteen million, four hundred five thousand, sixty".