516450167016 has 256 divisors, whose sum is σ = 1513451520000. Its totient is φ = 143825172480.

The previous prime is 516450167011. The next prime is 516450167053. The reversal of 516450167016 is 610761054615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (516450167011) 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 63 ways as a sum of consecutive naturals, for example, 492325660 + ... + 492326708.

It is an arithmetic number, because the mean of its divisors is an integer number (5911920000).

Almost surely, 2^516450167016 is an apocalyptic number.

516450167016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516450167016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756725760000).

516450167016 is an abundant number, since it is smaller than the sum of its proper divisors (997001352984).

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

516450167016 is a wasteful number, since it uses less digits than its factorization.

516450167016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 516450167016 in words is "five hundred sixteen billion, four hundred fifty million, one hundred sixty-seven thousand, sixteen".