516163415040 has 2112 divisors, whose sum is σ = 2355351957504. Its totient is φ = 105488842752.

The previous prime is 516163414967. The next prime is 516163415057. The reversal of 516163415040 is 40514361615.

516163415040 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 634 + 15 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 516163414986 and 516163415004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5321272272 + ... + 5321272368.

Almost surely, 2^516163415040 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 516163415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177675978752).

516163415040 is an abundant number, since it is smaller than the sum of its proper divisors (1839188542464).

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

516163415040 is a wasteful number, since it uses less digits than its factorization.

516163415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 516163415040 its reverse (40514361615), we get a palindrome (556677776655).

The spelling of 516163415040 in words is "five hundred sixteen billion, one hundred sixty-three million, four hundred fifteen thousand, forty".